Hi All,
I am trying to couple two-phase flow (PS) with deformation flow for a fractured composite medium. If it is individual two-phase flow (PS) it is working fine. But, the deformation flow is not satisfactory.
Let me explain the problem details.
(1) At first, I did Kueper problem-PS type benchmark solution.
(2) Before my coupled problem, I have attempted to solve coupled problem (H2M considering PS) for the KETZIN field case (Kolditz et al. (2012-a), Page 619). 
After reading Kolditz et al (2012, Chapter 12, Page 254), I understood that "global scheme is sensitive to matrix solvers. The LIS solver (BiCG with Jacobi preconditioned) works well on Windows". Therefore, I used BiCG solver and  Jacobi preconditioner.
In general, the distribution of CO2 with respect to time should be similar to the distribution of stress with respect to time. However, in my case they are not similar. Any idea to couple two-phase flow (PS) with the defromation flow is appreciable. Is there any simialr example problem?
Thanks in advance.
Regards,
Mohammad
Relevant input files are as follows
GeoSys-BC: Boundary Conditions ------------------------------------------------
#BOUNDARY_CONDITION
 $PCS_TYPE
  PS_GLOBAL
 $PRIMARY_VARIABLE
  PRESSURE1
 $GEO_TYPE
  POLYLINE D_BC
 $DIS_TYPE
  CONSTANT  6.49e6 
#BOUNDARY_CONDITION
 $PCS_TYPE
  PS_GLOBAL
 $PRIMARY_VARIABLE
  SATURATION2
 $GEO_TYPE
  POLYLINE D_BC
 $DIS_TYPE
  CONSTANT  0.05
#BOUNDARY_CONDITION
 $PCS_TYPE
  DEFORMATION   
 $PRIMARY_VARIABLE
  DISPLACEMENT_X1
 $GEO_TYPE
  POLYLINE  D_BC
 $DIS_TYPE
  CONSTANT 0    
#BOUNDARY_CONDITION
 $PCS_TYPE
  DEFORMATION   
 $PRIMARY_VARIABLE
  DISPLACEMENT_Y1
 $GEO_TYPE
  POLYLINE  OUT
 $DIS_TYPE
  CONSTANT 0    
#BOUNDARY_CONDITION
 $PCS_TYPE
  DEFORMATION   
 $PRIMARY_VARIABLE
  DISPLACEMENT_Y1
 $GEO_TYPE
  POLYLINE  TOP
 $DIS_TYPE
  CONSTANT 0 
#STOP
GeoSys-IC  Initial Conditions ------------------------------------------------
#INITIAL_CONDITION
 $PCS_TYPE
  PS_GLOBAL
 $PRIMARY_VARIABLE
  PRESSURE1
 $GEO_TYPE
  DOMAIN
 $DIS_TYPE
  CONSTANT 6.49e6
#INITIAL_CONDITION
 $PCS_TYPE
  PS_GLOBAL
 $PRIMARY_VARIABLE
  SATURATION2
 $GEO_TYPE
  DOMAIN 
 $DIS_TYPE
  CONSTANT  0.05
#INITIAL_CONDITION
 $PCS_TYPE
  PS_GLOBAL
 $PRIMARY_VARIABLE
  SATURATION2
 $GEO_TYPE
  POLYLINE U_BC
 $DIS_TYPE
  CONSTANT  0.65  
#INITIAL_CONDITION
 $PCS_TYPE
  DEFORMATION
 $PRIMARY_VARIABLE
  STRESS_XX
 $GEO_TYPE
  SUB_DOMAIN
   3
   0   -6005191.5+7798.95*z
   1   -6005191.5+7798.95*z 
   2   -6005191.5+7798.95*z
#INITIAL_CONDITION
 $PCS_TYPE
  DEFORMATION
 $PRIMARY_VARIABLE
  STRESS_YY
 $GEO_TYPE
  SUB_DOMAIN
   3
   0   -6005191.5+7798.95*z
   1   -6005191.5+7798.95*z 
   2   -6005191.5+7798.95*z
#INITIAL_CONDITION
 $PCS_TYPE
  DEFORMATION
 $PRIMARY_VARIABLE
  STRESS_ZZ
 $GEO_TYPE
  SUB_DOMAIN
   3
   0   -20017305+25996.5*z
   1   -20017305+25996.5*z 
   2    -20017305+25996.5*z   
#STOP
GeoSys-MAT-FP: Fluid Properties ------------------------------------
#FLUID_PROPERTIES
 $FLUID_TYPE
  LIQUID
 $DENSITY
  1 1.17300e+003	
 $VISCOSITY
  1 1.25200e-003
#FLUID_PROPERTIES
 $FLUID_TYPE
  GAS
 $DENSITY
  1 0.84800e+003
 $VISCOSITY
  1 8.1000e-005
#STOP
GeoSys-MMP  Material Medium Properties ------------------------------------
#MEDIUM_PROPERTIES
 $GEOMETRY_DIMENSION
  2
 $GEOMETRY_AREA
  1.000000e+000
 $POROSITY
  1   0.26
 $PERMEABILITY_TENSOR
  ISOTROPIC 3.e-13
 $PERMEABILITY_SATURATION
  6  0.35  0.95  2.0
  66  0.0  1.0  2.0 1e-7
 $CAPILLARY_PRESSURE
  6 1.0e4
#STOP
GeoSys-MAT-SP: Solid Properties ------------------------------------
 #SOLID_PROPERTIES
  $DENSITY
    1 2650.0
   $ELASTICITY
      POISSION  0.3       
      YOUNGS_MODULUS:
       1 2.0e+11   
 $BIOT_CONSTANT
1.                       
#STOP
GeoSys-NUM: Numerical Parameter ----------------------------------------
$OVERALL_COUPLING
;min_iter -- max_iter
 1           1
#NUMERICS
    $PCS_TYPE
       PS_GLOBAL
    $ELE_MASS_LUMPING
       1
    $ELE_UPWINDING
       0 1.0
    $LINEAR_SOLVER 
; method error_tolerance max_iterations theta precond storage
  3      6 1.e-10      1000          1.0   1     4
    $NON_LINEAR_SOLVER 
; method error_tolerance max_iterations relaxation
  PICARD 1e-5            30             1.0
   $COUPLING_CONTROL
;error method -- tolerances
 ;LMAX            1.e-3    1.e-3
LMAX            10    1.e-3
#NUMERICS
 $PCS_TYPE
  DEFORMATION
 $LINEAR_SOLVER 
; method error_tolerance max_iterations theta precond storage
 2      2 1.e-12      2000           1.0   100      4    
$COUPLING_CONTROL
;error method -- tolerances
 LMAX            1.e-3
 
#STOP
GeoSys-PCS: Processes ------------------------------------------------
#PROCESS
 $PCS_TYPE
 PS_GLOBAL
 $NUM_TYPE
   dPcdSwGradSnw
#PROCESS
 $PCS_TYPE
    DEFORMATION 
#STOP
GeoSys-ST: Source Terms ------------------------------------------------
#SOURCE_TERM
 $PCS_TYPE
  PS_GLOBAL
 $PRIMARY_VARIABLE
  SATURATION2
 $GEO_TYPE
  POLYLINE U_BC
 $DIS_TYPE
  ;CONSTANT_NEUMANN  0.4475e-5
  CONSTANT_NEUMANN  1710.e-5
#STOP
Kolditz, O., S. Bauer, C. Beyer, N. Böttcher, P. Dietrich, U.-J. Görke, T. Kalbacher, C.-H. Park, U. Sauer, C. Schütze, H. Shao, A. Singh, J. Taron, W. Wang and N. Watanabe (2012-a). "A systematic benchmarking approach for geologic CO2 injection and storage." Environmental Earth Sciences 67(2): 613-632.
Kolditz, O., U.-J. Gorke, H. Shao and W. Wang (2012). Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Benchmarks and Examples. Heidelberg, Springer.