11
1 Risk and Reliability Analysis of a Subsea System for Oil Production Keith Dillian Schneider Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal The present project was accomplished with the support of CNPq, Conselho Nacional de Desenvolvimento Científico e Tecnológico Brasil. ABSTRACT: There are many layouts for offshore oil and gas production that can be implemented that differ on the topside and subsea equipment. When applying new technologies in subsea production systems there is few information in conceptual design, regarding sizes of equipment, capacities, failure statistics, among others. The objective of this work is to present a model to assess the risk and reliability of subsea equipment used in offshore oil production fields. Two scenarios of offshore production layout are compared in terms of risks and reliability: conventional and hybrid scenarios. The conventional scenario separates water and gas from oil in a topside system of a floating production storage and offloading (FPSO), while the hybrid scenario uses a subsea separator that allows the water to be reinjected into the well without being lifted together with the well fluid, letting more space available in the FPSO for oil storage. Simplified reliability models are presented for the subsea separator, pumps, flowlines and risers. As there is not enough failure data to characterize the reliability of the subsea separator, a methodology is applied to predict its reliability using information from a similar topside separator. The reliability prediction approach is illustrated with a case study of an oil field located in Brazil. 1 INTRODUCTION With the increasing of energy demand and production, new subsea technology is constantly being implemented in offshore production. Innovation is only limited by costs and permissible risks the project can be exposed to. Risk analysis has a major importance in offshore industry. Not only the costs of an accident can be expressively high, or environment can be strongly affected, but lives are exposed, which increases the social responsibility in offshore operations. Christou and Konstantinidou (2012) also emphasize the indirect economic consequences, using as example the accident of Deepwater Horizon, in which the company had losses from the fail in price of shares (shares have fallen around 50% in June 2010). Risk analysis can be used as a decision supporting tool to improve conceptual design. However, this analysis requires failure data from equipment that are not available for new equipment or equipment that will work in different environmental conditions, such as at the subsea. In conceptual design stage is normal to have many assumptions and proportionally many uncertainties. The design team has an idea of what kind of equipment can be implemented, but not enough information regarding sizes, capacities and costs. Added to that, when the project has innovation this task probably has more uncertainties. According to Duan et al. (2018), subsea production systems are important for exploitation of offshore oil and gas, as an efficient and cost-effective plan for deepwater fields. The challenge of new technology is to find information to predict their reliability. As offshore equipment is designed to have a long life, equipment does not fail in such frequency in order to provide trustworthy conclusions from statistics. Because of that, statistics of reliability data such as OREDA (Offshore Reliability Data), SINTEF (2002); Handbook of Reliability Prediction Procedures for Mechanical Equipment, LTS (2010); and Guidelines for process equipment reliability data, AIChE (1988), may not be sufficient to make a reasonable prediction, and methodologies are being implemented with the objective to predict failure rates of new subsea equipment based on existing similar topside equipment. The objective of this thesis is to present a model to assess the risk and reliability of subsea equipment used in offshore fields for oil production. 2 RISK ANALYSIS APPLIED IN OFFSHORE INDUSTRY Brandsæter (2002) analyzes the implementation of risk assessment in the offshore industry, with focus on safety aspects, and in quantitative risk assessment. Based on a research with professionals in the field, it was indicated that the perception of risk in offshore industry is not uniform. While the extent of potential damage is high, the probability of occurrence and uncertainties perception are ranged from low to medium. Yasseri and Bahai (2018) calculated the availability of a subsea distribution plant at the design stage using as reliability tool DSM. The access of failure rate of equipment was directly made using OREDA (2002), considering that the failure rates of equipment is constant, which could be a source of error in analysis, but in the architecture level of design is acceptable, regarding the available data is scarce. Also, some assumptions for the modelling were made, and must be updated as the design progresses. It is known that for risk and reliability analysis reliability data of the components and systems are necessary to properly evaluate the design or operation. In some cases, the studies and projects must be developed not having total access to reliability data, and for that there are some tools that can be used to predict the failure characteristics of the equipment to overcome the lack of data. The method BORA-release, by Sklet et al. (2006) analyzes the hydrocarbon release frequency, taking into account the effect of the safety barriers used for release prevention. The method also analyzes the influence of RIFs (Reliability Influence Factor) - as technical, human, operational and organizational conditions- in the barriers performance. One challenge of this method is the lack of input data available, especially in human reliability in the offshore field. Vinnem et al. (2009) applied the BORA method in a study case related to an offshore oil and gas production platform. The

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Page 1: Risk and Reliability Analysis of a Subsea System for Oil Production · 1 Risk and Reliability Analysis of a Subsea System for Oil Production Keith Dillian Schneider Instituto Superior

1

Risk and Reliability Analysis of a Subsea System for Oil Production

Keith Dillian Schneider

Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

The present project was accomplished with the support of CNPq, Conselho Nacional de Desenvolvimento Científico e Tecnológico – Brasil.

ABSTRACT: There are many layouts for offshore oil and gas production that can be implemented that differ on the topside and

subsea equipment. When applying new technologies in subsea production systems there is few information in conceptual design,

regarding sizes of equipment, capacities, failure statistics, among others. The objective of this work is to present a model to assess

the risk and reliability of subsea equipment used in offshore oil production fields. Two scenarios of offshore production layout are

compared in terms of risks and reliability: conventional and hybrid scenarios. The conventional scenario separates water and gas

from oil in a topside system of a floating production storage and offloading (FPSO), while the hybrid scenario uses a subsea separator

that allows the water to be reinjected into the well without being lifted together with the well fluid, letting more space available in

the FPSO for oil storage. Simplified reliability models are presented for the subsea separator, pumps, flowlines and risers. As there

is not enough failure data to characterize the reliability of the subsea separator, a methodology is applied to predict its reliability

using information from a similar topside separator. The reliability prediction approach is illustrated with a case study of an oil field

located in Brazil.

1 INTRODUCTION

With the increasing of energy demand and production, new

subsea technology is constantly being implemented in offshore

production. Innovation is only limited by costs and permissible

risks the project can be exposed to.

Risk analysis has a major importance in offshore industry. Not

only the costs of an accident can be expressively high, or

environment can be strongly affected, but lives are exposed,

which increases the social responsibility in offshore operations.

Christou and Konstantinidou (2012) also emphasize the indirect

economic consequences, using as example the accident of

Deepwater Horizon, in which the company had losses from the

fail in price of shares (shares have fallen around 50% in June

2010).

Risk analysis can be used as a decision supporting tool to

improve conceptual design. However, this analysis requires

failure data from equipment that are not available for new

equipment or equipment that will work in different

environmental conditions, such as at the subsea. In conceptual

design stage is normal to have many assumptions and

proportionally many uncertainties. The design team has an idea

of what kind of equipment can be implemented, but not enough

information regarding sizes, capacities and costs. Added to that,

when the project has innovation this task probably has more

uncertainties. According to Duan et al. (2018), subsea

production systems are important for exploitation of offshore oil

and gas, as an efficient and cost-effective plan for deepwater

fields. The challenge of new technology is to find information

to predict their reliability. As offshore equipment is designed to

have a long life, equipment does not fail in such frequency in

order to provide trustworthy conclusions from statistics.

Because of that, statistics of reliability data such as OREDA

(Offshore Reliability Data), SINTEF (2002); Handbook of

Reliability Prediction Procedures for Mechanical Equipment,

LTS (2010); and Guidelines for process equipment reliability

data, AIChE (1988), may not be sufficient to make a reasonable

prediction, and methodologies are being implemented with the

objective to predict failure rates of new subsea equipment based

on existing similar topside equipment.

The objective of this thesis is to present a model to assess the

risk and reliability of subsea equipment used in offshore fields

for oil production.

2 RISK ANALYSIS APPLIED IN

OFFSHORE INDUSTRY

Brandsæter (2002) analyzes the implementation of risk

assessment in the offshore industry, with focus on safety

aspects, and in quantitative risk assessment. Based on a research

with professionals in the field, it was indicated that the

perception of risk in offshore industry is not uniform. While the

extent of potential damage is high, the probability of occurrence

and uncertainties perception are ranged from low to medium.

Yasseri and Bahai (2018) calculated the availability of a subsea

distribution plant at the design stage using as reliability tool

DSM. The access of failure rate of equipment was directly made

using OREDA (2002), considering that the failure rates of

equipment is constant, which could be a source of error in

analysis, but in the architecture level of design is acceptable,

regarding the available data is scarce. Also, some assumptions

for the modelling were made, and must be updated as the design

progresses.

It is known that for risk and reliability analysis reliability data

of the components and systems are necessary to properly

evaluate the design or operation. In some cases, the studies and

projects must be developed not having total access to reliability

data, and for that there are some tools that can be used to predict

the failure characteristics of the equipment to overcome the lack

of data.

The method BORA-release, by Sklet et al. (2006) analyzes the

hydrocarbon release frequency, taking into account the effect of

the safety barriers used for release prevention. The method also

analyzes the influence of RIFs (Reliability Influence Factor) -

as technical, human, operational and organizational conditions-

in the barriers performance. One challenge of this method is the

lack of input data available, especially in human reliability in

the offshore field.

Vinnem et al. (2009) applied the BORA method in a study case

related to an offshore oil and gas production platform. The

Page 2: Risk and Reliability Analysis of a Subsea System for Oil Production · 1 Risk and Reliability Analysis of a Subsea System for Oil Production Keith Dillian Schneider Instituto Superior

2

situations in which the method would be applied were decided

in discussions between personnel from the oil company and

project team members, and it was decided to apply it in three

situations: release due to valve(s) in wrong position after

maintenance (A), release due to incorrect fitting of flanges or

bolts during maintenance (B), and release due to internal

corrosion (C). The results for situations A and B presented

higher release frequencies when compared with industry

average data, which is explained by the status of several of the

RIFs measured by the RNNS-data was worse than the industry

average standard. The quantitative results for scenarios A and B

were reasonable compared to release statistics. A question is

raised regarding how specific the assessment of the status of

RIFs needs to be. Results for scenario C did not presented the

same confidence from results of scenarios A and B, because the

phenomenon of corrosion is complex, and the assumptions

made for this work must be discussed. Sensitivity analyses

performed in the study supported the conclusion that the method

can a useful tool to analyses the effect on the release frequency

of safety barriers introduced to prevent hydrocarbon releases.

Rahimi and Rausand (2013) proposed an approach to determine

the failure rates of new subsea systems, making a detailed

comparison with the topside systems. Being subsea systems

adapted from topside systems, the reliability information cannot

be used directly for subsea design, due to design modifications,

different environmental stresses and maintenance. A reliability

data for topside systems are typically available, the approach

applied RIFs to analyze subsea systems.

Abdelmalek (2018), performed a semi-quantitative risk

assessment of a subsea production system in the conceptual

phase. It was used as tool the concept of RIFs to applicate in

subsea equipment, and ETA, linking the end terminals with

different consequence groups, denotating quantified

magnitudes of consequences. A practical demonstration is made

applying semi-quantitative risk assessment in an offshore field

located in Brazil.

A study conducted by Silva (2016) analyzed the relevance of

risk analysis in operational safety regarding subsea pipelines for

transport systems. A tool from DNV (2009) was used to

calculate failure rates for two case studies in North Sea,

considering not just the failure modes, but also a number of

factors that influence the likelihood of failure, such as age, size,

length of line and location. As a result, both cases revealed that

the failure frequency was directly proportional on the size

length.

3 METHODOLOGY

According to Rausand and Høyland (2004), in a qualitative risk

analysis, probabilities and consequences are determined purely

by qualitative characteristics,. As presented in the previous

chapter, there are several tools for qualitative analysis. In this

project the FMEA method is selected for a preliminary analysis

of the subsea production concept.

FMEA is a tool that can be used to acquire an overview of types

of failures that can happen in the system, their consequence, and

helps to determine ways to minimize their occurrence. It can be

implemented for systems functions, subsystems or components.

Quantitative risk analysis gives numerical estimates of

probabilities and consequences, and eventually these estimates

have some uncertainties, according to Rausand and Høyland

(2004). This approach is best suited for risk associated with low

probability of occurrence and high consequence events.

Reliability is defined as a characteristic of the ability of a

component or a system to perform a specific function (Aven,

1992). Important measures of the reliability of a nonrepairable

component are: reliability function 𝑅(𝑡), failure rate function

𝑧(𝑡) , and mean time to failure 𝑀𝑇𝑇𝐹 . To access this

information many distributions can be used, depending on data

available and failure modes, as exponential distribution,

Weibull distribution, gamma distribution, lognormal

distribution, and others.

Time to failure is understood as the time that an item takes to

failure, since it started the operation. It is interpreted as a

random variable, 𝑇 . The time to failure is often a discrete

variable, but can, however, be considered as a continuous

variable. In this case it is assumed that the time to failure 𝑇 is

continuously distributed with probability density function 𝑓(𝑡) and distribution function 𝐹(𝑡).

The reliability function is presented in equation [1]. Being the

complement of failure probability function, reliability of an item

is the probability that this item will survive for a time 𝑇 greater

than 𝑡.

𝑅(𝑡) = 1 − 𝐹(𝑡) = Pr(𝑇 > 𝑡) 𝑓𝑜𝑟 𝑡 > 0 [1]

The lack of data in reliability and risk analysis may lead to

analysis with increasing uncertainties. According to Aven

(1992), reliability statistics can be used monitor the reliability

level; identify critical components, equipment and systems;

analyze causes of failure; or evaluate the effect of measures and

prioritize between different measures. Statistics of failures and

test reports on component, equipment and systems may

originate reliability data.

Rausand (2011) presented that reliability data is related to

frequency how and components and subsystems in a system

may fall. There are generic databases that provide average data

for a wide application area, and company-specific databases,

that are based on reports of failures and other events in the

application of equipment. Examples of databases are MIL-

HDBK-217F and IEC TR 62380 for electronic equipment,

MechRel for mechanical equipment, and OREDA, that is a

database for the offshore and oil industry.

In this study reliability data is based on OREDA (SINTEF 2002)

information. OREDA provides data for topside and subsea

equipment, but the range of subsea equipment is not yet

embracing. For that reason, a reliability prediction method is

used in this project, for subsea equipment that has not

probability/frequency information available in OREDA, topside

equipment will be used, and corrected by the application of

RIFs.

As expected, a subsea equipment has different failure rate from

a similar topside equipment. As the environment are not the

same, the stresses that affect the components and systems vary.

To adapt the reliability information from topside to subsea

equipment, reliability prediction methods are required.

Rahimi and Rausand (2013) developed an approach for failure

rate prediction of new subsea equipment, that can be used in

design and development phases. The methodology is based on

the application of RIFs to determinate the failure rate of subsea

equipment. The methodology developed by Rahimi and

Rausand (2013) is performed in eight steps, explained below:

Page 3: Risk and Reliability Analysis of a Subsea System for Oil Production · 1 Risk and Reliability Analysis of a Subsea System for Oil Production Keith Dillian Schneider Instituto Superior

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1st step: New system familiarization

The new subsea system in study must be clearly defined, taking

in account physical boundaries, operational and environmental

conditions. The recommendation is that the system is

represented hierarchically with subsystems and maintainable

items. DNV (2011) has a set of recommendations in which rises

the importance of list the critical components, reporting the

main characteristics, in the form of drawings, text, data, etc.

2nd step: Identification of failure modes and failure causes

Failure modes and failure causes must be identified, and for that

a FMEA could be appropriated. The potential failure modes

should be studied, with the respective failure causes and

mechanisms, considering all operational modes. This phase of

analysis can be carried out by a FMEA sheet. An influence

diagram, as presented in Figure 1, is recommended to better

understand the relation between failure cause and failure mode,

and the possible RIFs that may influence. The authors

emphasizes that is important that the failure causes that lead to

the failure modes are defined as a single failure cause, not as a

combination of failure causes, and they give as example as a

failure mode that is induced by two separate causes “high flow

and high content of sand in the fluid”, the failure cause should

be specified as “high flow and high content of sand in the fluid”.

Step 3: Reliability information acquisition for the similar known

system; comparison of thee new and the known system

In this stage, a similar topside system is found, with similar

functions and structure. For this system, the reliability

information is obtained from OREDA. The following

mathematical assumptions are made:

𝜆𝑇 = 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 𝑡𝑜𝑡𝑎𝑙 𝑓𝑎𝑖𝑙𝑢𝑟𝑒 𝑟𝑎𝑡𝑒 𝑓𝑜𝑟 𝑡𝑜𝑝𝑠𝑖𝑑𝑒 𝑠𝑦𝑠𝑡𝑒𝑚

𝜆𝑖(𝑇)= 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 𝑓𝑎𝑖𝑙𝑢𝑟𝑒 𝑟𝑎𝑡𝑒 𝑜𝑓 𝐹𝑀𝑖 , 𝑓𝑜𝑟 𝑖 = 1,2, … , 𝑛

𝛼 = (𝛼1, 𝛼2, … , 𝛼𝑛) = 𝑑𝑖𝑠𝑡𝑟𝑖𝑏𝑢𝑡𝑖𝑜𝑛 𝑜𝑓 𝑡ℎ𝑒 𝑛 𝑓𝑎𝑖𝑙𝑢𝑟𝑒 𝑚𝑜𝑑𝑒𝑠

𝛼𝑖 = 𝑝𝑟𝑜𝑏𝑎𝑏𝑖𝑙𝑖𝑡𝑦 𝑡ℎ𝑎𝑡 𝑡ℎ𝑒 𝑓𝑎𝑖𝑙𝑢𝑟𝑒 𝑚𝑜𝑑𝑒 𝑖𝑠 𝐹𝑀𝑖

Figure 1 - Factors that contributes to the total failure of the

system. Rahimi and Rausand (2013)

When the failure modes (FM) are disjoint, the constant total

failure rate is the sum of each failure rate of the correspondent

FM, as presented in equation [2].

𝜆(𝑇) = ∑ 𝜆𝑖(𝑇)𝑛

𝑖=1 [2]

𝜆𝑖(𝑇)= 𝛼𝑖 × 𝜆

(𝑇) [3]

Equation [2] indicates that if a failure mode has occurred, the

failure rate of this failure mode is a percentage of the total

failure rate.

The failure mode may not be independent in all situations, as

illustrated in Figure 2.

Figure 2 - Subsea and topside system comparison - Rahimi and

Rausand (2013)

As can be seen in Figure 2, failure modes can be different for

subsea and topside systems. All the differences between the new

and the known systems must be recorded. The dashed lines

indicate that the information belongs only to topside failure rate,

the thick lines indicates that it belongs for both systems, and the

thin lines only for subsea system.

Step 4: Selection of relevant RIFs

The objective is to find out how a RIF can influence the failure

rate changes. Definition of RIFs is made based on analysis made

in Step 3 and in expert judgment. In Table 1 are presented

generic RIFs, categorized by design and manufacturing,

operation and maintenance. This table can be used as a checklist

when deciding which RIFs must be applied in the subsea

system, that must be selected by experts. It is important to select

the RIFs in a manner that the failure is influenced by individual

RIFs, and not by a set of RIFs.

After being specified, the RIFs must be ranked according to

their relevance for each failure cause. This ranking can be based

in a weight, 𝜀𝑘𝑗, related to the 𝑅𝐼𝐹𝑘 and the 𝐹𝐶𝑗. The weights

should be scaled in a manner that satisfy equation [4].

∑ 𝜀𝑘𝑗𝑝𝑘=1 = 1 [4]

For 𝑘 = 1,2, … , 𝑝, for each 𝐹𝐶𝑗.

Step 5: Scoring the effects of the RIFs

Some RIFs may have more influence for topside or subsea

Page 4: Risk and Reliability Analysis of a Subsea System for Oil Production · 1 Risk and Reliability Analysis of a Subsea System for Oil Production Keith Dillian Schneider Instituto Superior

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Table 1 - Generic RIFs, adapted from Rahimi and Rausand

(2013)

Category RIFs

Design and

manufacturing

System structure

Materials

Dimensions

Loads and capacities

Quality (manufacturing process, installation, logistics, assembly, …)

Operational and

maintenance

Functional requirements

Time in operation

Mechanical constraints

Frequency of maintenance

Maintenance policy

Accessibility for maintenance

Type and quality maintenance

Environmental External Temperature

Location of operation

Pressure

Corrosive environment

Pollution

Environmental Internal Pressure

Sand particles in the fluid

Chemical content

systems, and it must be clearly identified when comparing RIFs

on failure causes for both systems. The indication of which RIFs

are relevant for the failure can be made using the indication 𝑣𝑘𝑗(𝑇)

and 𝑣𝑘𝑗(𝑆)

for topside and subsea systems, respectively. The

indications are presented in equations [5] and [6].

𝑣𝑘𝑗(𝑇)= {

1 𝑖𝑓 𝑡ℎ𝑒 𝑅𝐼𝐹𝑘 ℎ𝑎𝑠 𝑒𝑓𝑓𝑒𝑐 𝑜𝑛 𝑡𝑜𝑝𝑠𝑖𝑑𝑒 𝐹𝐶𝑗0 𝑖𝑓 𝑡ℎ𝑒 𝑅𝐼𝐹𝑘 ℎ𝑎𝑠 𝑛𝑜 𝑒𝑓𝑓𝑒𝑐 𝑜𝑛 𝑡𝑜𝑝𝑠𝑖𝑑𝑒 𝐹𝐶𝑗

[5]

𝑣𝑘𝑗(𝑆)= {

1 𝑖𝑓 𝑡ℎ𝑒 𝑅𝐼𝐹𝑘 ℎ𝑎𝑠 𝑒𝑓𝑓𝑒𝑐 𝑜𝑛 𝑠𝑢𝑏𝑠𝑒𝑎 𝐹𝐶𝑗0 𝑖𝑓 𝑡ℎ𝑒 𝑅𝐼𝐹𝑘 ℎ𝑎𝑠 𝑛𝑜 𝑒𝑓𝑓𝑒𝑐 𝑜𝑛 𝑠𝑢𝑏𝑠𝑒𝑎 𝐹𝐶𝑗

[6]

As the effects of each RIF are different from topside to subsea

systems, the influence score 𝜂𝑘𝑗 indicates how much higher or

lower this 𝑅𝐼𝐹𝑘 influences 𝐹𝐶𝑗 in the subsea system,

comparing with topside system. It is suggested by the authors to

use the scale of Table 2 to assign the scores.

Table 2 - Scale for scoring of RIFs, adapted from Rahimi and

Rausand (2013)

-3 -2 -1 0 1 2 3

Much

lower

effect

Significantly

lower effect

Slightly

lower

effect

No

differe

nce

Slightly

higher

effect

Significantly

higher effect

Much

higher

effect

If the indicator from [6] is equal to 1, the seven points from

Table 3 are applicable, otherwise, if the 𝑅𝐼𝐹𝑘 has no effect on

topside, only the positive scoring must be used. Table 3 shows

a summary of information for scoring the RIFs.

Step 6: Weighing the contribution of the failures causes to

failure modes

The failure causes that lead to a failure mode can have a

different contribution for topside and subsea systems. The

weight 𝜔𝑗𝑖(𝑇)

represents how much 𝐹𝐶𝑗 contributes for 𝐹𝑀𝑖 .

These weights for topside system can be deduced from data base

from OREDA, where is assumed that FC are disjoint and the

sum of weights of each FM is 1. For the subsea system, in other

hand, these weights must be determined and obtained from

expert judgments, technical reports, etc. The contributing

weight of 𝐹𝐶𝑗 to 𝐹𝑀𝑖 is 𝜔𝑗𝑖(𝑆)

, according to equation [7].

∑ 𝜔𝑗𝑖(𝑆)𝑟

𝑗=1 = 1 [7]

Table 3 - Scoring of RIFs based on comparison with topside

system, adapted from Rahimi and Rausand (2013)

Reliability influencing factor Failure cause

𝐹𝐶1 𝐹𝐶2 … 𝐹𝐶3

𝑅𝐼𝐹1

Relevance topside 𝜈11(𝑇)

𝜈12(𝑇)

… 𝜈1𝑟(𝑇)

Relevance subsea 𝜈11(𝑆)

𝜈12(𝑆)

… 𝜈1𝑟(𝑆)

Scoring topside/subsea 𝜂11 𝜂12 … 𝜂1𝑟

𝑅𝐼𝐹2

Relevance topside 𝜈21(𝑇)

𝜈22(𝑇)

… 𝜈2𝑟(𝑇)

Relevance subsea 𝜈21(𝑆)

𝜈22(𝑆)

… 𝜈2𝑟(𝑆)

Scoring topside/subsea 𝜂21 𝜂22 … 𝜂2𝑟

𝑅𝐼𝐹𝑃

Relevance topside 𝜈𝑝1(𝑇)

𝜈𝑝2(𝑇)

… 𝜈𝑝𝑟(𝑇)

Relevance subsea 𝜈𝑝1(𝑆)

𝜈𝑝2(𝑆)

… 𝜈𝑝𝑟(𝑆)

Scoring topside/subsea 𝜂𝑝1 𝜂𝑝2 … 𝜂𝑝𝑟

where 𝑖 = 1,2, … , 𝑞, being 𝑞 the number of FM that is similar

for both topside and subsea systems.

Step 7: Determination of the failure rate for similar failure

modes

The failure rates for FM of subsea systems are calculated based

on the corresponding failure rates of topside systems, being

adjusted accorded to previous steps. The expression that relates

failure rate from topside and subsea systems is presented in

equation [8].

𝜆𝑖(𝑆)= 𝜆𝑖

(𝑇)× (1 + 𝜅𝑖) [8]

For 𝑖 = 1,2, … , 𝑞 , where 𝜅𝑖 > −1 is the scaling factor, that

depends on the weights 𝜔𝑗𝑖(𝑆)

. This parameter, 𝜔𝑗𝑖(𝑆)

can be

interpreted as conditional probability: if 𝐹𝑀𝑖 has occurred, 𝐹𝐶𝑗

has also occurred, because is one of its causes, which means:

𝜔𝑗𝑖(𝑆)= Pr (𝑡ℎ𝑒 𝑓𝑎𝑖𝑙𝑢𝑟𝑒 𝑖𝑠 𝑐𝑎𝑢𝑠𝑒𝑑 𝑏𝑦 𝐹𝐶𝑗𝑖|𝐹𝑀𝑖ℎ𝑎𝑠 𝑜𝑐𝑐𝑢𝑟𝑒𝑑)

[9]

The scaling factor is also dependent in how much different FC

affect FM of the subsea systems, compared to topside systems.

This can be calculated as weighted average of scores of RIFs

that influence 𝐹𝐶𝑗. The RIFs are also weighed according to its

importance, as shown in equation [10]:

𝜂�̅� = ∑ 𝜀𝑘𝑗𝜈𝑘𝑗(𝑆) 𝜂𝑘𝑗

3

𝑝𝑘=1 [10]

For 𝑗 = 1,2, … , 𝑟 . The division by three is because 3 is the

highest score from Table 2, and is used for normalization. The

scale factor 𝜅𝑖 is then calculated by 11]:

𝜅𝑖 = 𝑐𝑖 × ∑ 𝜔𝑗𝑖(𝑆)𝑟

𝑗=1 × 𝜂�̅� [11]

For 𝑖 = 1,2, … , 𝑞. 𝑐𝑖 is a constant scaling factor, that is specified

later.

It is specified that the failure rate is delimited such as: 𝜆𝑖(𝑆)∈

[ 𝜆𝐿𝑜𝑤,𝑖(𝑆)

, 𝜆𝐻𝑖𝑔ℎ,𝑖(𝑆)

]. These boundary values are found based on

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5

𝜆𝑖(𝑇)

, and two factors: 𝜃𝑚𝑖𝑛,𝑖 and 𝜃𝑚𝑎𝑧,𝑖, that are determined by

expert judgment, such as:

𝜃𝑚𝑖𝑛,𝑖 × 𝜆𝑖(𝑇)≤ 𝜆𝑖

(𝑆)≤ 𝜃𝑚𝑎𝑥,𝑖 × 𝜆𝑖

(𝑇) [12]

Combining equations [8], 11] and [12], it is obtained:

𝜃𝑚𝑖𝑛,𝑖 ≤ 1 + 𝑐𝑖 ∑ 𝜔𝐽𝐼(𝑆)𝑟

𝑗=1 × 𝜂�̅� ≤ 𝜃𝑚𝑎𝑥,𝑖 [13]

The values of 𝜔𝐽𝐼(𝑆)

and 𝜂�̅� were determined previously, so 𝑐𝑖 is

found as a function of 𝜃𝑚𝑖𝑛,𝑖 and 𝜃𝑚𝑎𝑥,𝑖.

Considering extreme cases of equation [13], where all the

scores of RIFs are given as +3 and -3, the values of 𝜂�̅� would be

1 and -1, respectively. It is figured out that in the maximum and

minimum cases 𝑐𝑖 = 1 − 𝜃𝑚𝑖𝑛,𝑖 and in the maximum case 𝑐𝑖 =

𝜃𝑚𝑎𝑥,𝑖 − 1 . It is then obtained:

𝑐𝑖 =

{

1 − 𝜃𝑚𝑖𝑛,𝑖 𝑤ℎ𝑒𝑛 ∑ 𝜔𝑗𝑖

(𝑆)× 𝜂�̅� < 0

𝑟𝑗=1

0 𝑤ℎ𝑒𝑛 ∑ 𝜔𝑗𝑖(𝑆)× 𝜂�̅� < 0𝑟

𝑗=1

𝜃𝑚𝑎𝑥,𝑖 − 1 𝑤ℎ𝑒𝑛 ∑ 𝜔𝑗𝑖(𝑆)× 𝜂�̅� < 0𝑟

𝑗=1

[14]

The equation [9] becomes:

𝜆𝑖(𝑆)= 𝜆𝑖

(𝑇)× (1 + 𝑐𝑖 × ∑ 𝜔𝑗𝑖

(𝑆)× 𝜂�̅�

𝑟𝑗=1 ) [15]

For the subsea failure modes that has no relation with topside

systems, the failure rate cannot be obtained from previous

equations, which implies that the failure rates must be

determined according to expert judgments, technical reports,

and operational data from similar systems.

Step 8: Determination of failure rates of new failure modes,

calculation of new total failure rate

The total failure rate for the subsea system is calculated by

equation [16]. The authors states that even when the failure

modes are not completely independent, this equation has

enough accuracy.

𝜆𝑇𝑜𝑡𝑎𝑙(𝑆)

= ∑ 𝜆𝑖(𝑆)𝑛

𝑖=1 [16]

4 CASE STUDY

To exemplify the presented methodology, a field in Brazil is

analyzed in terms of reliability and risk of its main equipment.

The field is located in approximately 300 km from the coast of

Rio de Janeiro, with an area of 533 km². The water depth varies

from 2.200 to 2.300 m. According to Teixeira et al. (2018), the

productivity index of each well is 8.000 bbl/day, with a time

production of 27 years. This study describes the differences

between separation systems in the conventional and hybrid

production systems scenarios.

In the conventional scenario there are 66 production wells, 22

water injection wells, and 4 gas injection wells. The wells are

divided in 12 clusters, and for each 3 clusters there is one FPSO,

plus the subsea systems, composed by manifolds, flowlines,

rises, Christmas tree, etc. In Figure 3 the conventional scenario

is represented. In the FPSOs there are separation systems, and

the oil is separated and stored in the tanks, while water and gas

are treated and reinjected in the reservoir. Table 4 shows the

division of wells for each FPSO.

The hybrid scenario, shown in Figure 4, has two FPSOs and six

subsea systems, and differently from the conventional, the

subsea systems are composed also of subsea separators. There

Figure 3 - Conventional production system layout, adapted from

Teixeira et al. (2018)

Table 4 - Division of production and injection wells for each

FPSO in conventional, adapted from Souza et al. (2017)

FPSO - A

Cluster A - 1 4 Prod. Well

FPSO - C

Cluster A - 1 6 Prod. Well

Cluster A - 2 4 Prod. Well Cluster A - 2 6 Prod. Well

Cluster A - 3 4 Prod. Well Cluster A - 3 6 Prod. Well

4 Water Inj. Well 6 Water Inj. Well

1 Gas Inj. Well 1 Gas Inj. Well

FPSO - B

Cluster A - 1 6 Prod. Well

FPSO - D

Cluster A - 1 6 Prod. Well

Cluster A - 2 6 Prod. Well Cluster A - 2 6 Prod. Well

Cluster A - 3 6 Prod. Well Cluster A - 3 6 Prod. Well

6 Water Inj. Well 6 Water Inj. Well

1 Gas Inj. Well 1 Gas Inj. Well

are also 66 production wells and 22 water injection wells, but

only three gas injection wells.

Each two clusters are connected by a tri-phase subsea separator,

that separates most of the water produced from the wells to

posteriorly reinject in the reservoir. The hydrocarbon fluid (with

some left-over water) is sent to FPSO to be separated in water,

gas and oil. The water and gas are reinjected, and the oil is stored

in tanks. There is an additional subsea system to reinject the

water, composed by three risers, one manifold and three water

reinjection wells associated with each FPSO. This system also

has one riser and one gas injection well associated with FPSO

1, and two risers and two gas injection wells associated with

FPSO 2. The division of wells is presented in Table 5.

The wells are not put in operation simultaneously, they are

placed in operation as the percentage of cut water increases

along the years. Table 5 also presents the year that each well

starts its operation.

The main difference between the scenarios is the use of subsea

separators to separate the water from the fluid and promptly

reinject the water into the water injection wells. According to

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6

Figure 4 – Hybrid production system layout, adapted from Souza

et al. (2017)

Table 5 - Division of production and injection wells for each

FPSO in hybrid scenario, adapted from Souza et al. (2017)

FPS

O 1

SS-

1

Clust

er

A - 1

4 Prod.

Well

Year

1

FPS

O 2

SS-

4

Clust

er

B - 1

6 Prod.

Well

Year

1

Clust

er

A - 2

4 Prod.

Well

Year

1

Clust

er

B - 2

6 Prod.

Well

Year

1

SS-

2

Clust

er

A - 3

4 Prod.

Well

Year

1 SS-

5

Clust

er

B - 3

6 Prod.

Well

Year

1

Clust

er

A - 4

6 Prod.

Well

Year

2

Clust

er

B - 4

6 Prod.

Well

Year

5

SS-

3

Clust

er

A - 5

6 Prod.

Well

Year

6 SS-

6

Clust

er

B - 5

6 Prod.

Well

Year

9

Clust

er

A - 6

6 Prod.

Well

Year

10

Clust

er

B - 6

6 Prod.

Well

Year

13

3 Water rein. Well 3 Water reinj. Well

1 Gas Inj. Well 2 Gas Inj. Well

Souza et al. (2017), in the conventional scenario due to the

processing capacity of each FPSO, each one would endure 18

production wells, and as the production declines along the years,

there will be a moment that the FPSO would produce only

water, which characterizes the end of production life. As in the

hybrid concept most of the water is separated at subsea, there is

more capacity in the FPSOs for oil treatment and storage, and

therefore only two FPSOs are necessary.

The benefits of subsea separation of water are not only related

to FPSO capacity. Bai and Bai (2010) mention that the removal

of water helps to avoid hydrate formation in the export

pipelines, increases the recovery of reserves, and accelerates the

lifting of fluid stream making it lighter and easier.

4.1 Risk Analysis Conventional Scenario

System Definition

The conventional scenario, as mentioned before, is composed

by manifolds, lifting pumps, pipelines and risers. The oil

mixture from each well is gathered for the correspondent

manifold, and then lifted by pumps trough flowlines and risers

to the respective FPSO. Manifolds, as being a complex set of

valves are not considered for calculations of risk and reliability

analysis. The equipment considered are lifting pump, flowlines

and risers.

Information from pump is taken from Rahimi and Rausand

(2013), that applied the reliability prediction procedure based

on RIFs methodology for a subsea pump. The multi-stage pump

is composed by impellers placed in series, and the pump system

is composed by the pump and an electric motor. Considerations

are that the system must have high reliability (each component

of pump); maintenance plan is not standard; and the properties

of pump fluid may change over time.

The diameter and extension of flowlines and riser are presented

in Table 6, being considered from manifold to the FPSO.

Flowlines are considered the extension of pipeline positioned in

the seabed until TDP, while riser is the extension from TDP

until the FPSO. All pipelines and risers are flexible.

Table 6 - Extension of flowlines and risers of conventional

scenario, adapted from Teixeira et al. (2018)

FPSO Cluster Diameter [in] Length [km] Manifold -

TDP

Length [km]

Riser

A A1 8 9.3 2.3

A2 8 1.1 2.3

A3 8 9.3 2.3

B1 B1 8 2.8 2.3

B3 8 2.8 2.3

B3 8 9.5 2.3

B2 B4 8 2.9 2.3

B5 8 2.9 2.3

B6 8 5.6 2.3

C C1 8 4.7 2.3

C2 8 1.1 2.3

C3 8 4.7 2.3

Hazard Identification

Normally the process of identification of hazards and FMEA is

performed by a specialized team, bringing together

professionals with expertise to conduct a brainstorming and

identify particularities of the system being analyzed. In the

present study the FMEA is carried out by the author, based on

information taken from specialized literature.

The failures modes used by Rahimi and Rausand (2013)

adopted for application of methodology are presented in Table

7. Only the most important failure modes are considered in the

calculations.

Table 7 - Failure modes of a pump, from Rahimi and Rausand

(2013)

FTS Fail to start on demand

LOO Low output

UST Spurious stop

Regarding flowlines and risers, information is based on DNV

(2011). Table 8 presents failure modes considered for flowlines

and risers.

Table 8 - Failure modes of a pipelines and risers, adapted from

DNV (2011)

BUR Bursting

FAT Fatigue

COL Collapse

PRB Propagating Buckling

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Evaluation of failure rates and failure probabilities

Pump

Failure rate data for subsea pumps were taken from Rahimi and

Rausand (2013), and values are presented in Table 9.

Table 9 - Failure rate for pump failure modes, from Rahimi and

Rausand (2013)

FM FTS LOO UST

𝜆𝑖 [106 ℎ−1] 42.07 83.5 103.86

Failure rate presented in Table 20 are for an operational time of

106 hours. The total failure rate for each subsea pump is

presented below, for operational time and for a year,

respectively 𝜆(ℎ−1) = 2.29 × 10−4. The probability of failure

of a pump in a year is: 𝐹(1 𝑦𝑒𝑎𝑟) = 8.66 × 10−1

Flowline and Risers

The failure frequencies of flowline and risers are calculated

based on DNV (2009), and results are presented in Table 10. As

failure frequency of risers does not have influence of length, the

value is the same for all.

Table 10 – Probability of failure of flowlines and risers for

each cluster in conventional scenario

FPSO Cluster Diameter [in] Length [km]

Manifold - TDP

Probability of

Failure Flowline

Probability of

Failure Riser

A A1 8 9.3 2.14E-03 4.50E-03

A2 8 1.1 2.53E-04 4.50E-03

A3 8 9.3 2.14E-03 4.50E-03

B1 B1 8 2.8 6.44E-04 4.50E-03

B3 8 2.8 6.44E-04 4.50E-03

B3 8 9.5 2.19E-03 4.50E-03

B2 B4 8 2.9 6.67E-04 4.50E-03

B5 8 2.9 6.67E-04 4.50E-03

B6 8 5.6 1.29E-03 4.50E-03

C C1 8 4.7 1.08E-03 4.50E-03

C2 8 1.1 2.53E-04 4.50E-03

C3 8 4.7 1.08E-03 4.50E-03

Total System

Considering the complete system as a series system, the total

probability of failure of each cluster can be obtained and Table

11 presents the results of each cluster.

Table 11 - Failure frequency of cluster for conventional scenario

FPSO Cluster Probability of Failure Cluster

A A1 8.67E-01

A2 8.67E-01

A3 8.67E-01

B B1 8.67E-01

B2 8.67E-01

B3 8.67E-01

C B4 8.67E-01

B5 8.67E-01

B6 8.67E-01

D C1 8.67E-01

C2 8.67E-01

C3 8.67E-01

Risk Matrix

Using the scales of frequency and consequence, the risk for each

cluster from FPSO A is presented in Table 12.

Table 12 - Risk for clusters and FPSO A, of conventional

scenario

Cluster Probability of

failure Flowline

Probability of

failure Riser

Probability of

failure Pump

Probability of

failure Cluster

A1 2.14E-03 4.50E-03 8.66E-01 8.67E-01

Frequency 3 4 5 5

Severity 4 4 1 3

Risk 12 12 5 15

A2 2.53E-04 4.50E-03 8.66E-01 8.67E-01

Frequency 2 3 5 5

Severity 4 4 1 3

Risk 8 12 5 15

A3 2.14E-03 4.50E-03 8.66E-01 8.67E-01

Frequency 3 3 5 5

Severity 4 5 1 3

Risk 12 12 5 15

The analysis has considered that the pumps normally have

safety valves, which protect the system from leakage when a fail

occurs. For this reason, it was stipulated a severity rating of 1

(slightly effects), in all cases. Regarding flowlines and risers, a

fail means an oil spill, which induces to pollution. The

consideration is that even if the leakage is small, at least the

severity would be significant, with major effects, 4.

chemical injection.

4.2 Risk Analysis of Hybrid Scenario

In the hybrid scenario, the number of components increases due

to addition of subsea separation equipment and water injection

system, such as valves, pumps and the separator itself.

System Definition

According to Bai and Bai (2010), the concept of having water

separation and injection on the seafloor requires as basic

components a separator, a pump to reinject the water and a water

injector well. Other more specific components are

instrumentations, equipment for control the pump, separator and

valves, power transmission/distribution equipment, and

A separator is a pressure vessel that has the function to separate

fluid. In the shipping sector, for example, its application is

mandatory in all vessels, to separate impurities from fuel before

the fuel is injected in machinery, and sludge from water before

the water is dumped into the sea. In ships, the separators can be

gravitational or centrifugal, depending on application. In the

offshore field, there are many types of separators used to

separate the well spread varying according to the type of fluid

coming from the well. A separator from offshore industry

separates well fluids coming from a well or a group of wells into

gaseous and liquid components. A three-phase separator is

capable of separating the gas from liquid, and water from oil,

(Laik 2018).

For this project a simplified system is assumed. Equipment to

be considered in the risk analysis are: pumps, separator,

flowline and risers. Even the lifting and injection pumps being

conceptually different, they are considered to be identical and

their failure characteristics are taken from Rahimi and Rausand

(2013).

The diameter and length of flowlines and risers are presented in

Table 13, being considered from manifold to FPSO. Flowlines

are considered the from the manifold to the separator, and from

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the separator to TDP, while risers are from the TDP to the

FPSO. The pipelines from the production well to the manifold,

and from separator to the reinjection well are excluded from the

analysis. Also, in this scenario, all pipelines are considered to

be flexible.

Table 13 - Extension of flowlines and risers of hybrid scenario,

adapted from Teixeira et al. (2018)

FPSO Cluster Separator Diameter

[in]

Length [km]

Manifold -

Separator

Length [km]

Separator -

TDP

Length

[km]

Riser

1

A1 1

8 5.01 14.33 2.3

A2 8 5.01

A3 2

8 3.74 4.17 2.3

B2 8 3.74

B1 3

8 3.29 10.58 2.3

B6 8 3.29

2

B3 4

8 3.06 3.3 2.3

C1 8 3.06

B4 5

8 3.67 8.47 2.3

B5 8 3.67

C2 6

8 2.62 9.04 2.3

C3 8 2.62

Hazard Identification

The identification of hazards of a separator is performed

according to information available in SINTEF (2002) for similar

topside separator vessels. The boundary considered in the

analysis is shown in Figure 5. The figure indicates that inlet,

pressure relief, outlet and drain valves are not considered

in the analysis of the separator. Table 14 presents the critical

failure modes of the separator.

Figure 5 - Vessel boundary definition, adapted from SINTEF

(2002)

Table 14 – Critical failures modes of a vessel separator, adapted

from SINTEF (2002)

AIR Abnormal instrument reading

ELP External leakage - process medium

OTH Other

PDE Parameter Deviation

PLU Plugged/Chocked

Regarding pumps, flowlines and risers, hazards are considered

the same as conventional scenario.

Evaluation of failure rates and failure probabilities

Subsea separator

The probability of failure of the subsea separator is calculated

by applying the failure rate prediction method proposed by

Rahimi and Rausand (2013) described in previous section, that

consists in the following steps:

New system familiarization

A system familiarization was already made in section, 0. The

main function of the subsea separator is to separate water from

the well spread. It must have high reliability, due to the

difficulty in performing corrective maintenance in water depth

of 2200 m.

Identification of failure modes and failure causes

Failure modes and failure causes are selected from SINTEF

(2002). Failure modes are considered only for critical failures,

and failure causes are selected according to higher frequency of

occurrence. For simplification purposes, it is selected the failure

causes with higher frequency: instrument failure – general; out

of adjustment; blockage / plugged; faulty signal / indication /

alarm; mechanical failure – general; no signal / indication /

alarm; electrical failure – general; breakage; control failure; and

leakage.

Reliability information acquisition for the similar

known system

Failure rates for each failure mode are taken from SINTEF

(2002), and are presented in Table 15. Failure rates are

considered for an operational time of 106 hours.

Table 15 - Failure rates for the failure modes (topside separator)

𝑖 𝐹𝑀𝑖 𝑁𝑓𝑎𝑖𝑙𝑢𝑟𝑒𝑠 𝛼𝑖 𝜆𝑖 [ℎ−1] 𝛼𝑖 × 𝜆𝑖 [ℎ

−1]

1 AIR 23 0.39 17.62 6.87

2 ELP 21 0.36 16.09 5.73

3 OTH 7 0.12 5.36 0.64

4 PDE 3 0.05 2.3 0.12

5 PLU 5 0.08 3.83 0.32

The total failure rate of the topside separator is: 𝜆(𝑇)[ℎ−1] =13.67 × 10−6.

The same assumptions of Rahimi and Rausand (2013) are made:

failure modes and failure cause for subsea system are

considered similar to the topside system, with different effects.

This is an assumption with simplifications purposes, but ideally

both systems should be deeply detailed to obtain more reliable

results.

a) Selection of relevant RIFs

According to Table 1, the RIFs 𝑘 are selected according to

consideration of their importance to each failure cause 𝑗 .

Besides, weights 𝜀𝑘𝑗 of RIF 𝑘 are distributed equally for each

failure cause 𝑗 . The decision of how much each RIF 𝑘

influences in the failure cause must also be performed by

experts. In this study they were equally divided among all.

b) Scoring the effects of the RIFs

RIFs are categorized according to relevance to topside and

subsea system and scored according to their importance. The

scale for scoring the RIFs used is the same suggested by Rahimi

and Rausand (2013), presented in Table 2.

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c) Weighing the contribution of the failure causes to

failure modes

The weight contribution of the failure causes to failure modes

are taken from data available in SINTEF (2002), in the section

Failure descriptor versus failure mode. The information is

normalized in order to be transformed in weights. The weights

are presented in Table 16.

It is important to notice that this data is a percentage of the total

failure rate for the failure description/failure mode combination,

and it takes in consideration all types of failures: critical,

degraded, incipient and unknown. This implies that the data do

not represent faithfully the weight contribution for critical

failures.

Table 16 - Weight contribution of failure modes

Failure Cause i=1 i=2 i=3 i=4 i=5

AIR ELP OTH PDE PLU

j=1 Instrument failure - general 0.36 0.00 0.15 0.33 0.07

j=2 Out of adjustment 0.36 0.00 0.21 0.42 0.02

j=3 Blockage/Plugged 0.10 0.03 0.15 0.09 0.80

j=4 Faulty signal / indication/alarm 0.09 0.00 0.03 0.00 0.00

j=5 Mechanical failure - general 0.03 0.28 0.15 0.06 0.07

j=6 No signal / indication / alarm 0.02 0.00 0.00 0.00 0.00

j=7 Electrical failure - general 0.01 0.00 0.03 0.00 0.00

j=8 Breakage 0.01 0.03 0.12 0.06 0.02

j=9 Control failure 0.01 0.00 0.06 0.03 0.02

j=10 Leakage 0.01 0.65 0.12 0.00 0.00

SUM 1.00 1.00 1.00 1.00 1.00

d) Determination of failure rate for similar failure modes

The failure rate of the failure modes is calculated according to

the factor intervals presented in Table 17. These factors must

also be result from a brainstorm of experts in the field.

Table 17 - Factor intervals for each failure mode

FM AIR ELP OTH PDE PDU

θ min, i 0.4 0.4 0.4 0.4 0.4

θ max, i 1.2 1.2 1.2 1.2 1.2

Results of failure rates of operational time (106 hours) for each

failure mode are shown in Table 18.

Table 18 - Failure rates of subsea separator failure modes

FM AIR ELP OTH PDE PDU

𝜆𝑚𝑖𝑛,𝑖 [ℎ−1] 7.05 6.44 2.14 0.92 1.53

𝜆𝑚𝑎𝑥,𝑖 [ℎ−1] 21.14 19.31 6.43 2.76 4.60

𝜆𝑎𝑣𝑒,𝑖 [ℎ−1] 14.10 12.87 4.29 1.84 3.06

e) Determination of failure rates of new failure modes,

calculation of new total failure rate

The final failure rate of the subsea separator calculated by

equation [ 31 ], is 𝜆[ ℎ−1](𝑆𝑆) = 3.62 × 10−5.

Pump

Failure rates for subsea pumps, for both lifting and injection

pump are the same calculated by Rahimi and Rausand (2013),

𝜆[ ℎ−1] = 2.29 × 10−4

Flowline and Risers

The probability of failure of flowline and risers are calculated,

and results are presented in Table 19.

Total hybrid system

Considering the complete system as a series system, the total

probability of failure can be obtained. Table 20 presents the

results of each group. Each group is composed by two clusters

and one separator.

Table 19 – Probability of failure of flowlines and risers for each

cluster in hybrid scenario

FPSO Cluster Diameter

[in]

Probability of

Failure Flowline

Manifold -

Separator

Probability of

Failure Flowline

Separator - TDP

Probability of

Failure Riser

1 A1 8 1.15E-03 3.30E-03 4.50E-03

A2 8 1.15E-03

A3 8 8.60E-04 9.59E-04 4.50E-03

B2 8 8.60E-04

B1 8 7.57E-04 2.43E-03 4.50E-03

B6 8 7.57E-04

2 B3 8 7.04E-04 7.59E-04 4.50E-03

C1 8 7.04E-04

B4 8 8.44E-04 1.95E-03 4.50E-03

B5 8 8.44E-04

C2 8 6.03E-04 2.08E-03 4.50E-03

C3 8 6.03E-04

Table 20 - Failure frequency of group and for hybrid scenario

FPSO Cluster Probability of Failure Group

1

A1 9.87E-01

A2

A3 9.87E-01

B2

B1 9.87E-01

B6

2

B3 9.87E-01

C1

B4 9.87E-01

B5

C2 9.87E-01

C3

Risk Matrix

Using the scales of frequency and consequence, the risk for each

group is presented in Table 21.

The hybrid scenario considered that separator and pumps have

safety valves that prevent the system from leakage when a

failure occurs, and the severity rating is 1. Flowlines from

manifold to separator have a severity of 3, because of the

possibility of leakage and consequently pollution. The flowlines

from separator to TDP and risers have higher severity, due to

higher flow capacity.

4.3 Comparison of scenarios

Both scenarios are influenced by the failure frequency of the

subsea pumps. The failure frequency of pumps in both scenarios

is also similar, even though the hybrid scenario having the

double of pumps than conventional scenario.

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10

Despite the pumps, the conventional scenario presented higher

influence from risers when compared with the hybrid scenario.

Table 21 - Risk for clusters of FPSO 1, of hybrid scenario

Cluster

Probabi

lity of

failure

Flowlin

e

Manifol

d -

Separat

or

Probabi

lity of

failure

Separat

or

Probabi

lity of

failure

Lift

Pump

Probabi

lity of

failure

Injectio

n Pump

Probabi

lity of

failure

Flowlin

e

Separat

or -

TDP

Probabi

lity of

failure

Riser

Probabi

lity of

failure

Group

A1 1.15E-

03 2.71E-

01

8.66E-

01

8.66E-

01

3.30E-

03

4.50E-

03

9.87E-

01 A2

1.15E-

03

Freque

ncy 3 5 5 5 3 3 5

Severit

y 3 1 1 1 4 4 4

Risk 9 5 5 5 12 12 20

A3 8.60E-

04 2.71E-

01

8.66E-

01

8.66E-

01

9.59E-

04

4.50E-

03

9.87E-

01 B2

8.60E-

04

Freque

ncy 2 5 5 5 2 3 5

Severit

y 3 2 2 2 4 4 3

Risk 6 10 10 10 8 12 15

B1 7.57E-

04 2.71E-

01

8.66E-

01

8.66E-

01

2.43E-

03

4.50E-

03

9.87E-

01 B6

7.57E-

04

Freque

ncy 2 5 5 5 3 3 5

Severit

y 3 1 1 1 4 4 4

Risk 6 5 5 5 12 12 20

If all equipment in conventional scenario were considered, such

as separator system on the FPSO, pumps, pipelines for water

and gas injection, Christmas tree and wellheads, the total

probability of failure would be greater than that of the hybrid

scenario. This is expected because the number of FPSOs is

higher, so the number of separators would increase. Also, as this

scenario has more injection wells because of its

characterization, more risers, flowlines, injection pumps,

wellheads, Christmas tree would be necessary.

The hybrid scenario would have less equipment for separation

on the FPSO (considering less water in the fluid spread), and

also the number of injection wells is lower, so it would not be

necessary to implement the same number of equipment than

conventional scenario.

The probability of failure estimates for a subsea separator is

greater than for a topside separator. As for pumps, redundancy

for subsea separation was not considered.

5 CONCLUSION

The work presents a practical application of an approach to

predict the failure rate of a subsea separator using failure data

from a topside separator. The reliability prediction methodology

based on RIFs is a useful tool to calculate the reliability of

subsea equipment, when most of information available is from

topside equipment. The methodology must be applied by a team

with expertise in the field, to gather all the details that can

influence in subsea equipment reliability. Factors as

maintenance, material and environment can modify the

reliability when comparing topside with subsea equipment.

This tool can be used in the conceptual design phase, when not

enough information from layout and equipment is available and

for reliability and risk prediction. Despite not having final

information, all uncertainties and considerations must be

recorded.

In the case study developed, many simplifications and

considerations were assumed, such as exclusion of

redundancies in the system, exclusion of complex equipment

(Christmas tree, wellheads and manifolds), etc. The separator

and pumps were simplified to units, while in operations there is

a set of valves and sensors that must be coupled and should be

considered in reliability assessment. Also, functionalities of a

separator such as a test to verify if the content of water in the

separated oil is under the stipulated limit should be considered.

Simplifications made in the analysis could have a great

influence in the results of reliability.

Despite these simplifications and uncertainties, the reliability

prediction methodology has shown to be a useful tool for oil and

gas offshore industry, as it provides information to support risk

analysis with risk matrix and can help deciding the layout of

field development.

In the development of this project some suggestions for future

research works were identified, such as:

• Sensitivity analysis for failure modes and failure

causes used in the reliability prediction methodology,

and how much a RIF can influence in the subsea

equipment reliability;

• Validation of results, to assess whether the results from

the analysis are reliable or not;

• Use of more complex systems, considering details

from each component of the system;

• Financial analysis in the comparison between

conventional and hybrid scenarios, considering the

cost of equipment and what is the production level of

each option;

• Risk analysis considering financial losses and

environmental impacts.

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