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Dewatering

GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

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Page 1: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Dewatering

Page 2: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Outline of Presentation

• Introduction• Applications• Design• Examples

Page 3: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Introduction

Page 4: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Purposes for Dewatering

For construction excavations or permanent structures that are below the water table andare not waterproof or are waterproof but arenot designed to resist the hydrostatic pressure

Permanent dewatering systems are far lesscommonly used than temporary or constructiondewatering systems

Page 5: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Common Dewatering Methods

Sumps, trenches, and pumps

Well points

Deep wells with submersible pumps

Page 6: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Sumps, Trenches, and Pumps

Handle minor amount of water inflow

The height of groundwater above the excavation bottom is relatively small (5ft or less)

The surrounding soil is relatively impermeable (such as clayey soil)

Page 7: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Wet Excavations

Sump pumps are frequently used to remove surfacewater and a small infiltration of groundwater

Sumps and connecting interceptor ditches should belocated well outside the footing area and below thebottom of footing so the groundwater is not allowedto disturb the foundation bearing surface

In granular soils, it is important that fine particles nobe carried away by pumping. The sump(s) may be lined with a filter material to prevent or minimize loss of fines

Page 8: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Dewatering Open Excavation by Ditch and Sump

Army TM 5-818-5

Page 9: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Well Point Method

Multiple closely spaced wells connected by pipesto a strong pump

Multiple lines or stages of well points are required for excavations more than 5m below thegroundwater table

Page 10: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Single Stage Well Point System

Caltrans

Page 11: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Single Stage Well Point System

Page 12: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Typical Well Point System

Johnson (1975)

Page 13: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Deep Wells with Submersible Pumps

Pumps are placed at the bottom of the wells andthe water is discharged through a pipe connectedto the pump and run up through the well hole toa suitable discharge point

They are more powerful than well points, require a wider spacing and fewer well holes

Used alone or in combination of well points

Page 14: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Applicability of Dewatering Systems

Army TM 5-818-5

Page 15: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Applications

Page 16: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Permanent Groundwater Control System

Army TM 5-818-5

Page 17: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Deep Wells with Auxiliary Vacuum System

Army TM 5-818-5

Page 18: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Buoyancy Effects on Underground Structure

Xanthakos et al. (1994)

Page 19: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Recharge Groundwater to Prevent Settlement

Army TM 5-818-5

Page 20: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Sand Drains for Dewatering A Slope

Army TM 5-818-5

Page 21: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Grout Curtain or Cutoff Trench around An Excavation

Army TM 5-818-5

Page 22: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Design

Page 23: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Design Input Parameters

Most important input parameters for selectingand designing a dewatering system:

- the height of the groundwater above the base of the excavation

- the permeability of the ground surroundingthe excavation

Page 24: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Depth of Required Groundwater Lowering

The water level should be lowered to about 2 to5 ft below the base of the excavation

2 to 5ft

Page 25: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Methods for Permeability

Empirical formulas

Laboratory permeability tests

Borehole packer tests

Field pump tests

Accuracy

Cost

Page 26: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Darcy’s Law

Average velocity of flow

Lhkkiv

Rate (quantity) of flowA

LhkkiAq

Actual velocity of flow

nvva

Page 27: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Typical Permeability of Soils

Soil or rock formation Range of k (cm/s) Gravel 1 - 5Clean sand 10-3 - 10-2

Clean sand and gravel mixturesMedium to coarse sandVery fine to fine sandSilty sandHomogeneous claysShaleSandstoneLimestone

10-3 - 10-1

Fractured rocks

10-2 - 10-1

10-4 - 10-3

10-5 - 10-2

10-9 - 10-7

10-11 - 10-7

10-8 - 10-4

10-7 - 10-4

10-6 - 10-2

Page 28: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Permeability vs.

Effective Grain Size

Army TM 5-818-5Effective Grain Size (D10) of Soil, mmC

oeffi

cien

t of H

oriz

onta

l per

mea

bilit

y of

Soi

l (k h

) x10

-4cm

/sec

Note: kh based on field pumping tests

Page 29: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

h

QA

SoilL

Constant Head Test

hAtQLk

Page 30: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Falling Head Test

Soil

AValve

h1h2

At t=t1

At t=t2dh

a

L

2

1hh

tAaLk ln

Page 31: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Laboratory Test Methods

Rigid wall test AASHTO T215; ASTM D 2434 Typically for sandy & granular soils (k > 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s)

Flexible wall test ASTM D 5084 Typically for soils (k < 10-3 cm/sec)

Page 32: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Flexible vs. Rigid Wall• In rigid walled permeameters

– Simpler apparatus– Leakage along side-wall possible,

especially if sample shrinks– May use double ring equipment to

discount side-wall leakage• In flexible walled permeameters (triaxial

cells)– No side leakage– Effective stress (hence k) varies

Page 33: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Rigid Wall Permeameter

Page 34: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Device designed to use a 6-in section of a standard 3-in diameter Shelby tube

Ideal for testing loose sands and other materials

Shelby Tube Permeameter

(Durham Geo Slope Indicator)

Page 35: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

uses standard 4 in and 6 in compaction molds for falling or constant head permeability tests

Compaction Permeameter

(Durham Geo Slope Indicator)

Page 36: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Rigid Wall Permeameter

11.6

4 c

m

10.16 cm

Topcap

Porousstone

Compactionmould

Flow

Compactedsoil

BottomcapPorous

stone

Flow FlowEdge Flow(discarded)

Double ring permeameter introduced to measure k without including side-wall leakage which would lead to high estimates of k

Page 37: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

A standard 4 in compaction mold A stainless steel sleeve in the base divides the sample into two equal portions, allowing measurement of the permeant flow from the center and perimeter of the sample concurrently Flow is monitored with two 5 ml pipettes

Double Ring Permeameter

(Durham Geo Slope Indicator)

Page 38: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Cellpressure

No loading piston Top

plate

Topcap

Flexiblemembrane

Bottomcap

Bottomplate

Flow lines with valves

O - ring

Perspexwalls

Soil

Flexible Wall Permeameter

Different ’ at top and bottom of specimen

Page 39: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Flexible Wall Permeameter

Page 40: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Permeability Testing

To make testing practical, increase i But high i may cause

– cracking in soil– unrepresentative flow regime (Darcy not true anymore)– internal erosion– edge leakage in test apparatus

dldhkkiv

Usually test soils with very low permeability coefficient (<10-9 m/s??)

Page 41: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

k (cm/sec) imax

1x10-3 – 1x10-4 21x10-4 – 1x10-5 5

1x10-5 – 1x10-6 10

1x10-6 – 1x10-7 20

< 1x10-7 30

Recommended Maximum Hydraulic Gradient

Page 42: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Field Pumping Test

h2h1

r2

r1

r

dr dh

h

Phreatic levelbefore pumping

Phreatic levelafter pumping

Test well

Observation wells

Impermeable layer

q

Page 43: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Observation Wells

NAVFAC (1982)

Page 44: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Permeability from Field Pumping Test

Permeability

22

21

21

hhr

rqk

ln

Page 45: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Dupuit-Thiem Approximation for Single Well

h0

hs

r0

Influence range, Rr

hw

Phreatic levelbefore pumping

Phreatic levelafter pumping

Impermeable layer

QOriginal GWL

s

0

2w

2

0

2w

2

r/RloghHk366.1

r/RlnhHkQ

Hy

k

r/rlnQhy 02w

2

Page 46: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Height of Free Discharge Surface

H

hHCh 0s

Ollos proposed a value of C = 0.5

Page 47: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Influence Range

khH'CR w

Sichardt (1928)

C = 3000 for wells or 1500 to 2000 for single line well points

H, hw in meters and k in m/s

Page 48: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Forchheimer Equation for Multiwells

n21

22

x...xxln)n/1(RlnyHkQ

Forchheimer (1930)

x1

Well 1

Well 2

Well 3

Point P

x2 x3

a

alnRlnyHkQ

22

Circular arrangement of wells

Page 49: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

0 1 2 3 4 5R/H

0

0.4

0.2

0.6

0.8

1.0

hs/H

hs

h0h Q H

Ry

Army TM 5-818-5

Height of Free

Discharge Surface

Page 50: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Estimation of Flow Rate – Darcy’s Law

r0 h0H

H-h0

R

0

000

rRrRhHhHk571.1Q

Cedergren (1967)

Page 51: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Estimation of Flow Rate – Well Formulas

r0 h0H

H-h0

R

0

20

2

r/RloghHk366.1Q

Cedergren (1967)

Page 52: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Estimation of Flow Rate – Flow Nets

r0h0

HH-h0

R

d

f00 n

nrRhHk14.3Q

Cedergren (1967)

Flow net

nf = number of flow channelsnd = number of head drops

Page 53: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Capacities of Common Deep Well Pumps

Mansur and Kaufman (1962)

Min. i.d. of wellpump can enter

(in.)

Preferred min. i.d. of well

(in.)

Approximate max. capacity

(gal/min)

45 5/8

6810121416

568

1012141618

90160450600

1,2001,8002,4003,000

Page 54: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Rate of Flow into A Pumped Well or Well Point

Bush (1971)

Approximate formula

0whrk44Q

k = permeability, ft/minrw = effective radius of the well, fth0 = depth of immersion of well, ft

Page 55: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Typical Well Point Spacing in Granular Soils

NAVFAC (1982)

Page 56: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Typical Well Point Spacing in Stratified Soils

NAVFAC (1982)

Page 57: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Spacing of Deep Wells

The spacing of deep wells required equals the perimeter of the excavation divided by the number of wells required

Page 58: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Well Point Pump

Carson (1961)

Page 59: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Head vs. Discharge for Pump

Carson (1961)

Page 60: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Head vs. Discharge for Pump

Carson (1961)

Page 61: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Bottom Stability of Excavation

z > w (h +z) Caltrans

Page 62: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Settlement of Adjacent Structures

'vo

'vo

c0

logCe1

H

wh

h = reduction of groundwater level

Page 63: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Examples

Page 64: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Plan View & Cross-Section

Xanthakos et al (1994)

240m lengthx150m widthx21m depth

Page 65: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Design Requirement

Lower the groundwater table to 1.5m below the bottomof the excavation

Page 66: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Equivalent Radius and Influence Range

Equivalent radius of excavation

ft357ft500ft800r0

Height of water level in well

ft1130m340

107.43.0851403000khH'CR 5w

Influence range

h0 = 160 – 70 – 5 = 85 ft

112.5m

25.5m

339m

Page 67: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Rate of Flow in WellsUsing Darcy’s law

Single well formula

min/gal2350min/ft313

357/1130log8514000925.037.1

rRloghHk37.1Q

3

22

0

20

2

min/gal2592min/ft3463571130

3571130851408514000925.057.1

rRrRhHhHk571.1Q

3

0

000

Page 68: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Flow Rate into Wells using Flow Net

min/gal1782min/ft238303)3571130()85140(00925.014.3

nnrRhHk14.3Q

3

d

f00

R=1500’

Page 69: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Pump Test

A pump test indicates that the field permeability k = 9.2 x 10-4 cm/sec and the radius of influenceR = 2200ft. The new solutions based on the pumpTest results are

Method Darcy’s law Well formula Flow net

Q (gal/min) 370 290 360

Page 70: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Xanthakos et al (1994)

Layout of Deep Wells

Page 71: GI 12 Dewatering - nptel.ac.in · AASHTO T215; ASTM D 2434 ... 10-3 cm/s) Not recommended for low permeability soils (k < 10-6 cm/s) Flexible wall test ASTM D 5084

Multiple Wells

min/gal290min/ft7.38357ln2200ln

8514000181.014.3alnRln

yHkQ

3

2222

290/8 = 36.3 gal/min per well

Deep well size:

4” dia. for 36.6 gal/min

Discharge pump:4” dia. Pump for 290 gal/min

Header pipe:4” dia. for 5 x 36.6 gal/min = 181 gal/min