Three-dimensional poroelastic analysis of a pressurized natural fracture

Abstract In this paper, a three-dimensional, fully coupled poroelastic, displacement discontinuity method is developed and used to analyze the temporal variation of slip, and opening of a natural fracture in response to its sudden pressurization. Numerical results show when a fracture is pressurized at a level exceeding the normal in-situ stress, it increasingly opens with time as the rock evolves from an undrained state towards a drained state in accordance with the poroelastic theory. And, the pore pressure loading associated with pressurization of the fracture faces induces a time-dependent fracture closure related to rock dilation. The poroelastic analysis of a critically stressed natural fracture that is pressurized below the level required for jacking shows that the potential for fracture failure and slip decreases with the passage of time in response to the pore pressure-induced increase of the normal stress on the joint.

[1]  F. Rizzo,et al.  A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations , 1992 .

[2]  S. Wessling Pressure analysis of the hydromechanical fracture behaviour in stimulated tight sedimentary geothermal reservoirs , 2009 .

[3]  S. L. Crouch,et al.  Boundary element methods in solid mechanics , 1983 .

[4]  Robert Charlier,et al.  Numerical modeling of hydro-mechanical fracture behavior , 2002 .

[5]  Ahmad Ghassemi,et al.  Porothermoelastic Analysis of the Response of a Stationary Crack Using the Displacement Discontinuity Method , 2006 .

[6]  Note on a penny-shaped crack under shear , 1951 .

[7]  John A. Hudson,et al.  Comprehensive rock engineering , 1993 .

[9]  F. Cornet,et al.  Analysis of induced seismicity for stress field determination and pore pressure mapping , 1995 .

[10]  J. Rice,et al.  Some basic stress diffusion solutions for fluid‐saturated elastic porous media with compressible constituents , 1976 .

[11]  Phillip M. Halleck,et al.  Permeability reduction of a natural fracture under net dissolution by hydrothermal fluids , 2003 .

[12]  J. Geertsma The Effect of Fluid Pressure Decline on Volumetric Changes of Porous Rocks , 1957 .

[13]  Yu.N. Gordeyev,et al.  Growth of a crack produced by hydraulic fracture in a poroelastic medium , 1993 .

[14]  J. H. Curran,et al.  A three‐dimensional hydraulic fracturing simulator , 1989 .

[15]  A. Cheng,et al.  On singular integral equations and fundamental solutions of poroelasticity , 1998 .

[16]  I. N. Sneddon The distribution of stress in the neighbourhood of a crack in an elastic solid , 1946, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[17]  Three-dimensional displacement discontinuity solutions for fluid-saturated porous media , 1998 .

[18]  A. Cheng,et al.  Effects of heat extraction on fracture aperture: A poro–thermoelastic analysis , 2008 .

[19]  F. Gaßmann Uber die Elastizitat poroser Medien. , 1961 .

[20]  A. Cheng,et al.  An integral equation solution for three‐dimensional heat extraction from planar fracture in hot dry rock , 2003 .

[21]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[22]  A. Ghassemi,et al.  Numerical modeling of non-isothermal quartz dissolution/precipitation in a coupled fracture–matrix system , 2005 .

[23]  A two‐dimensional poroelastic displacement discontinuity method for hydraulic fracture simulation , 1989 .

[24]  G. N. Pande Numerical Models in Geomechanics - NUMOG X , 2007 .

[25]  Paul Segall,et al.  Earthquakes triggered by fluid extraction , 1989 .

[26]  John P. Carter,et al.  Elastic consolidation around a deep circular tunnel , 1981 .

[27]  Ahmad Ghassemi,et al.  Integral equation solution of heat extraction‐induced thermal stress in enhanced geothermal reservoirs , 2005 .

[28]  J. Roegiers,et al.  Poroelasticity in Hydraulic Fracturing Simulators , 1990 .

[29]  L. Murdoch,et al.  Analysis of the hydromechanical behavior of a flat-lying fracture during a slug test , 2007 .

[30]  P. K. Banerjee,et al.  A time domain boundary element method for poroelasticity , 1989 .

[31]  H. Kümpel Poroelasticity: parameters reviewed , 1991 .

[32]  A. Cheng,et al.  A 3-D study of the effects of thermomechanical loads on fracture slip in enhanced geothermal reservoirs , 2007 .

[33]  Daniel Swenson,et al.  The effects of thermal deformation on flow in a jointed geothermal reservoir , 1997 .