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Crisman Annual Report 2009 - Harold Vance Department of ...

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Thermo-Poroelastic Finite Element Analysis <strong>of</strong> Rock Deformation and Damage<br />

Introduction<br />

Stress change and permeability variations caused<br />

by rock failure play an important role in geothermal<br />

reservoir development, particularly in understanding<br />

stimulation outcomes and induced seismicity.<br />

Cold water injection causes significant change in<br />

temperature, pore pressure, and thus the stresses<br />

near the wellbore and in the reservoir which, in turn<br />

influence rock permeability.<br />

Permeability (md)<br />

22<br />

20<br />

18<br />

16<br />

14<br />

12<br />

10<br />

8<br />

6<br />

1 sec<br />

10 sec<br />

30 sec<br />

Objectives<br />

In this work, we present the development <strong>of</strong> a fullycoupled<br />

thermo-poro-mechanical finite element<br />

model with damage mechanics and stress dependent<br />

permeability for simulating rock response to cold<br />

water injection.<br />

4<br />

2<br />

0<br />

1<br />

2<br />

3<br />

r/a<br />

Permeability distributions around the wellbore.<br />

14<br />

4<br />

5<br />

Stress (MPa)<br />

140<br />

120<br />

100<br />

80<br />

60<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

Damage<br />

Pore Pressure (MPa)<br />

12<br />

10<br />

8<br />

6<br />

4<br />

1 sec<br />

30 sec<br />

ref-1 sec<br />

ref-30 sec<br />

40<br />

0.2<br />

Stress<br />

20<br />

Damage<br />

0<br />

0.005 0.010 0.015 0.020 0.025 0.030<br />

r/a<br />

Finite element simulations <strong>of</strong> a triaxial test. Green line: brittle behavior<br />

<strong>of</strong> strain-stress relationships; red line: damage evolution when stresses<br />

satisfy the failure criterion.<br />

Approach<br />

Both conductive and convective heat transport are<br />

considered in the thermo-poroelastic formulation.<br />

The model is used to perform a series <strong>of</strong> numerical<br />

experiments to study the influence <strong>of</strong> cold water<br />

injection on rock damage and permeability<br />

enhancement. The rock damage is reflected in the<br />

alteration <strong>of</strong> its elastic modulus and permeability.<br />

Accomplishments<br />

The results show that damage propagation is<br />

accompanied by a relaxation <strong>of</strong> the effective stress<br />

in the damage zone and its concentration in the<br />

intact rock near the interface with the damage zone.<br />

2<br />

0<br />

1<br />

2<br />

Pore pressure distributions around the wellbore. Solid lines represent<br />

pore pressure distributions for damage; Dashed lines give the results for<br />

the reference case with no damage.<br />

Significance<br />

The model provides a tool for the analysis <strong>of</strong> stress<br />

induced micro-seismicity and fracture propagation<br />

in geothermal and petroleum reservoirs.<br />

CRISMAN INSTITUTE<br />

Project Information<br />

3.1.21 Reservoir Geomechanics: Thermo-Poroelastic<br />

Analysis <strong>of</strong> Rock Deformation and Damage<br />

Contacts<br />

Ahmad Ghassemi<br />

979.845.2206<br />

ahmad.ghassemi@pe.tamu.edu<br />

3<br />

r/a<br />

4<br />

5<br />

Sang Hoon Lee<br />

70<br />

<strong>Crisman</strong> <strong>Annual</strong> <strong>Report</strong> <strong>2009</strong>

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