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3D modelling of fault-zone architecture along a major Alpine wrench lineament: the Pusteria and Sprechenstein-Mules fault system
Andrea Bistacchi, Matteo Massironi & Luca Menegon
1. How to build a computer model of fault-zone architecture?to model geometry and properties
topology of the model should reflect fault-zone architecture
geomodelling technology from the oil industry gOcadgeom
odel
ling
> overview
1. How to build a computer model of fault-zone architecture?need to model geometry and propertiestopology of the model should reflect fault-zone architecture geomodelling technology from the oil industry gOcad
2. Case studied: the Pusteria and Sprechenstein-Mules fault systemdataset: field geology and boreholes (from a deep tunnelling project)dextral (reverse) fault system with contractional stepovers
PF
-SM
F s
yste
mge
omod
ellin
g> overview
borehole data: > 2000 mcontinuous core and geophysical
log data across the fault zone
contractional stepover
> overview
1. How to build a computer model of fault-zone architecture?
need to model geometry and properties
topology of the model should reflect fault-zone architecture
geomodelling technology from the oil industry gOcad
2. Case studied: the Pusteria and Sprechenstein-Mules fault system
dataset: field geology and boreholes from a tunnelling project
strike slip fault system with contractional stepovers
3. Why a computer model of fault-zone architecture could be useful?visualization, understand complex structures, …
output realistic quantitative geometry and properties to mechanical models, fluid flow models, etc.
geom
odel
ling
PF
-SM
F s
yste
mco
nclu
sion
> how to build a computer model of fault-zone architecture?
gOcad topology and interpolation (CAD and geostats coupled)
PF
-SM
F s
yste
mco
nclu
sion
geom
odel
ling
[Mallet, 2002]
n functions φn(α), ∀ α∈Ω
graph Ģ(Ω,N) linear constrains C
discrete model Mn(Ω,N,φ,C)
P(A)
A
> how to build a computer model of fault-zone architecture?
gOcad topology and interpolation (CAD and geostats coupled)
PF
-SM
F s
yste
mco
nclu
sion
geom
odel
ling
discrete model Mn(Ω,N,φ,C)
n functions φn(α), ∀ α∈Ω
graph Ģ(Ω,N) linear constrains C
topology of a natural object A is approximated using a cellular partition model P(A) based on the GMaps algebraic structure
hierarchical embedded objects lines (n=1), surfaces (n=2), solids (n=3) [Mallet, 2002]
nodes neighborhood
> how to build a computer model of fault-zone architecture?
gOcad topology and interpolation (CAD and geostats coupled)
PF
-SM
F s
yste
mco
nclu
sion
geom
odel
ling
discrete model Mn(Ω,N,φ,C)
n functions φn(α), ∀ α∈Ω
graph Ģ(Ω,N) linear constrains C
first three components of φn(α) define spatial coordinates at all nodes α of the discrete model: φx(α), φy(α), φz(α)
other n-3 components define any other continuousor categorical property: attitude of a surface (gradient), degree of fracturing, porosity, seismic impedance, density, lithology, age, etc.
any property can be calculated at any point by linear interpolation ( similar to FEM mesh) [Mallet, 2002]
> how to build a computer model of fault-zone architecture?
gOcad topology and interpolation (CAD and geostats coupled)
PF
-SM
F s
yste
mco
nclu
sion
geom
odel
ling
discrete model Mn(Ω,N,φ,C)
n functions φn(α), ∀ α∈Ω
graph Ģ(Ω,N) linear constrains C
property functions φn are simultaneously interpolated based on available data (constraints)
C= hard equality constraints - to be honoured strictly
C≈ soft equality constraints – to be honoured in a least square sense
C> (hard) inequality constraints
Discrete Smooth Interpolator (DSI) interpolates φn based on
C = C= U C≈ U C> and “minimum local roughness” criterion [Mallet, 2002]
> how to build a computer model of fault-zone architecture?
gOcad topology and interpolation (CAD and geostats coupled)
PF
-SM
F s
yste
mco
nclu
sion
geom
odel
ling
discrete model Mn(Ω,N,φ,C)
n functions φn(α), ∀ α∈Ω
graph Ģ(Ω,N) linear constrains C
discrete fault zone architecture model (DFZAM) fault surface network and surrounding volume (damage zone), modelled with hierarchical fully coupled topology, integrating all data from field and subsurface geology
> the Pusteria (PF) & Sprechenstein-Mules (SMF) fault systemP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
PF is the eastern segment of the Periadriatic lineament, one of the largest (>600 km) faults in the Alps. SMF is a younger dextral lineament, connecting the PF to the Brenner detachment
PFPF
SMFSMF
Bre
nner
Bre
nner
[Bigi, 1992; Castellarin, 2004]
> the Pusteria (PF) & Sprechenstein-Mules (SMF) fault systemP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
PF is the eastern segment of the Periadriatic lineament, one of the largest (>600 km) faults in the Alps. SMF is a younger dextral lineament, connecting the PF to the Brenner detachment
PFPF
SMFSMF
Bre
nner
Bre
nner
[Bigi, 1992; Castellarin, 2004]
> the Pusteria (PF) & Sprechenstein-Mules (SMF) fault systemP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
PF is the eastern segment of the Periadriatic lineament, one of the largest (> 600 km) faults in the Alps. SMF is a younger dextral lineament, connecting the PF to the Brenner detachment
[Massironi, 2004]
> the Pusteria (PF) & Sprechenstein-Mules (SMF) fault systemP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
PF is the eastern segment of the Periadriatic lineament, one of the largest (> 600 km) faults in the Alps. SMF is a younger dextral lineament, connecting the PF to the Brenner detachment
[Massironi, 2004]
> the Pusteria (PF) & Sprechenstein-Mules (SMF) fault systemP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
PFPF
SMFSMFBrixen Granite (non-metamorphic footwall)Brixen Granite (non-metamorphic footwall)
Tonalitic “Lamella”(sheet-like pluton - 30Ma)
Tonalitic “Lamella”(sheet-like pluton - 30Ma)
Austroalpine Gneiss (Alpine metamorphism)Austroalpine Gneiss (Alpine metamorphism)SMFSMF
PFPF
PF is the eastern segment of the Periadriatic lineament, one of the largest (> 600 km) faults in the Alps. SMF is a younger dextral lineament, connecting the PF to the Brenner detachment
[Massironi, 2004]
hangingwallhangingwall
> the Pusteria (PF) & Sprechenstein-Mules (SMF) fault systemP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
Time & temperature constraints:
o Brixen Granite (footwall) always below 150-200°C in the Tertiary.
o Tonalitic Lamella emplaced at 30 Ma at about 450°C – 15 km, then exhumed with its host rock, the Austroalpine basement. The two hangingwall units cooled below ca. 250°C at 24 Ma. [Bistacchi, in prep.]
> the Pusteria (PF) & Sprechenstein-Mules (SMF) fault systemP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
Time & temperature constraints:
o Brixen Granite (footwall) always below 150-200°C in the Tertiary.
o Tonalitic Lamella emplaced at 30 Ma at about 450°C – 15 km, then exhumed with its host rock, the Austroalpine basement. The two hangingwall units cooled below ca. 250°C at 24 Ma. [Bistacchi, in prep.]
Kinematics: dextral with thrust component since 30 MaKinematics: dextral with thrust component since 30 Ma
> fault network (FN) and tectonic unit boundaries model: geometryP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
field geology & borehole data 8km x 4 km x 1.5 km 3D model
[Bistacchi, 2007]
> fault network (FN) and tectonic unit boundaries model: geometryP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
[Bistacchi, 2007]
field geology & borehole data 8km x 4 km x 1.5 km 3D model
> fault network (FN) and tectonic unit boundaries model: geometryP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
[Bistacchi, 2007]
field geology & borehole data 8km x 4 km x 1.5 km 3D model
topology of FNtopology of FNconstraintsconstraints
interpolationinterpolation
> fault network (FN) and tectonic unit boundaries model: geometryP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
field geology & borehole data 8km x 4 km x 1.5 km 3D model
[Bistacchi, 2007]
> properties: 1- fault cores (preliminary characterisation)P
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
fault core relatively thin layers (1-5 m?) of mature fault rocks, developed generally in correspondence of major tectonic boundaries and master faults, where much of the displacement is achieved
Brixen Granite Tonalitic Lamella &Austroalpine basement
5-10 m protocataclasite(ultra-) cataclasite along PSZs (dm-m)
thick greenschist facies phyllonites (pre-brittle faults) reactivated by frequent
PSZs (cm-m) with foliated ultracataclasite and polished SSs
> properties: 1- fault cores (preliminary characterisation)P
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
fault core relatively thin layers (1-5 m?) of mature fault rocks, developed generally in correspondence of major tectonic boundaries and master faults, where much of the displacement is achieved
Brixen Granite Tonalitic Lamella &Austroalpine basement
5-10 m protocataclasite(ultra-) cataclasite along PSZs (dm-m)
thick greenschist facies phyllonites (pre-brittle faults) reactivated by frequent
PSZs (cm-m) with foliated ultracataclasite and polished SSs
> properties: 1- fault cores (preliminary characterisation)P
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
fault core relatively thin layers (1-5 m?) of mature fault rocks, developed generally in correspondence of major tectonic boundaries and master faults, where much of the displacement is achieved
Brixen Granite Tonalitic Lamella &Austroalpine basement
5-10 m protocataclasite(ultra-) cataclasite along PSZs (dm-m)
thick greenschist facies phyllonites (pre-brittle faults) reactivated by frequent
PSZs (cm-m) with foliated ultracataclasite and polished SSs
> properties: 1- fault cores (preliminary characterisation)P
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
fault core relatively thin layers (1-5 m?) of mature fault rocks, developed generally in correspondence of major tectonic boundaries and master faults, where much of the displacement is achieved
Brixen Granite Tonalitic Lamella &Austroalpine basement
5-10 m protocataclasite(ultra-) cataclasite along PSZs (dm-m)
thick greenschist facies phyllonites (pre-brittle faults) reactivated by frequent
PSZs (cm-m) with foliated ultracataclasite and polished SSs
5 µm
> properties: 1- fault cores (preliminary characterisation)P
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
fault core relatively thin layers (1-5 m?) of mature fault rocks, developed generally in correspondence of major tectonic boundaries and master faults, where much of the displacement is achieved
Brixen Granite Tonalitic Lamella &Austroalpine basement
5-10 m protocataclasite(ultra-) cataclasite along PSZs (dm-m)
thick greenschist facies phyllonites (pre-brittle faults) reactivated by frequent
PSZs (cm-m) with foliated ultracataclasite and polished SSs
> properties: 2- damage zonesP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
damage zone how to (semi-) quantitatively map “damage” (40 km2)?
1m x 1m square window1m x 1m square window
towards fault core
> properties: 2- damage zonesP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
damage zone how to (semi-) quantitatively map “damage” (40 km2)?
Fd = cumulative fracture length/areaNj = number of joint setsFd = cumulative fracture length/areaNj = number of joint sets
Fd = 11.263 m-1
Nj ≤ 3Class 1
Fd = 11.263 m-1
Nj ≤ 3Class 1
Fd = 13.118 m-1
Nj ≤ 3Class 1
Fd = 13.118 m-1
Nj ≤ 3Class 1
Fd = 18.511 m-1
Nj = 4÷5Class 2
Fd = 18.511 m-1
Nj = 4÷5Class 2
Fd = 23.653 m-1
Nj > 5Class 3
Fd = 23.653 m-1
Nj > 5Class 3
Fd = n.d.Nj = n.d.Class 4
Fd = n.d.Nj = n.d.Class 4
Fd = n.d.Nj = n.d.Class 4
Fd = n.d.Nj = n.d.Class 4
towards fault core
> properties: 2- damage zonesP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
damage zone how to (semi-) quantitatively map “damage”?
GISborehole
log
Nj class.
DSI interpolation
damagemodel
Nj class.
Interpolation on a 3D regular grid (voxet).Grid connectivity broken across faults
(topology of the model reflects fault zone architecture).
> properties: 2- damage zonesP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
damage zone how to (semi-) quantitatively map “damage”?
GISborehole
log
Nj class.
DSI interpolation
damagemodel
Nj class.
Interpolation on a 3D regular grid (voxet).Grid connectivity broken across faults
(topology of the model reflects fault zone architecture).
FAULT
> discrete fault zone architecture model (DFZAM)P
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
> conclusionP
F-S
MF
sys
tem
conc
lusi
onge
omod
ellin
g
1. Discrete model of fault zone architecture:dependence of damage zone thickness from fault network geometry (curvature, stepovers) and lithology has been verified
a new framework for damage zone characterization has been proposed (need to be further verified)
damage zones around stepovers are highly fractured “columns” hydraulic conduits
2. Why a computer model of fault-zone architecture could be useful?visualization, understanding complex structures
quantitative analysis of geometry (e.g. differential geometry) made easy
build realistic model of geometry and propertiesthat can be output to, and quantitatively compared to mechanical models, fluid flow models, etc.
BBT SE is acknowledged for giving access to > 2000 m of continuous core and borehole logging data of the Brenner Basistunnel project
ASGA, Earth Decision Sciences and Paradigm are thanked for welcoming Padova and Milano Bicocca Universities in the gOcad Research Consortium
… thank you!