Ground heave due to line injection sources

Abstract This paper examines the geomechanical effects resulting from the injection of a non-reactive fluid along a line segment located at the interior of a poroelastic halfspace. The mechanical behaviour of the geologic medium is described using Biot’s classical theory of poroelasticity. The mathematical solutions for the surface heave associated with a point injection source are used to develop results for the ground heave associated with both vertically-aligned and horizontally-aligned line injection sources of constant intensity and finite length. The results obtained from the mathematical analysis are used to benchmark computational results for analogous problems.

[1]  A. P. S. Selvadurai,et al.  A transient pressure pulse method for the mesurement of permeability of a cement grout , 1997 .

[2]  Don W. Vasco,et al.  Satellite‐based measurements of surface deformation reveal fluid flow associated with the geological storage of carbon dioxide , 2010 .

[3]  A.P.S. Selvadurai,et al.  Fundamentals, Laplace's equation, diffusion equation, wave equation , 2000 .

[4]  A.P.S. Selvadurai,et al.  Fluid leakage through fractures in an impervious caprock embedded between two geologic aquifers , 2012 .

[5]  A.P.S. Selvadurai,et al.  On the interpretation of hydraulic pulse tests on rock specimens , 2013 .

[6]  A.P.S. Selvadurai,et al.  Computational modelling of isothermal consolidation of fractured porous media , 1995 .

[7]  G. J. Chen,et al.  Steady-State Solutions of Multilayered and Cross-Anisotropic Poroelastic Half-Space due to a Point Sink , 2005 .

[8]  A.P.S. Selvadurai,et al.  The Analytical Method in Geomechanics , 2007 .

[9]  A.P.S. Selvadurai,et al.  The Permeability of an Intact Granite , 2005 .

[10]  J. Geertsma,et al.  Land subsidence above compacting oil and gas reservoirs , 1973 .

[11]  P. Segall,et al.  Poroelastic stressing and induced seismicity near the Lacq gas field, southwestern France , 1994 .

[12]  A.P.S. Selvadurai,et al.  On the effective permeability of a heterogeneous porous medium: the role of the geometric mean , 2014 .

[13]  R. E. Gibson,et al.  DISPLACEMENT FUNCTIONS AND LINEAR TRANSFORMS APPLIED TO DIFFUSION THROUGH POROUS ELASTIC MEDIA , 1960 .

[14]  A.P.S. Selvadurai,et al.  Gravity‐driven advective transport during deep geological disposal of contaminants , 2006 .

[15]  A.P.S. Selvadurai,et al.  Mandel–Cryer effects in fluid inclusions in damage-susceptible poroelastic geologic media , 2004 .

[16]  R. E. Gibson,et al.  PLANE STRAIN AND AXIALLY SYMMETRIC PROBLEMS OF THE CONSOLIDATION OF A SEMI-INFINITE CLAY STRATUM , 1960 .

[17]  Wendy Zhou,et al.  Hoek-Brown Criterion , 2016 .

[18]  Jonny Rutqvist,et al.  The Geomechanics of CO2 Storage in Deep Sedimentary Formations , 2012, Geotechnical and Geological Engineering.

[19]  Paul Segall,et al.  Induced stresses due to fluid extraction from axisymmetric reservoirs , 1992 .

[20]  J. Booker,et al.  Elastic consolidation around a point sink embedded in a half-space with anisotropic permeability , 1987 .

[21]  A.P.S. Selvadurai,et al.  Computational modelling of crack-induced permeability evolution in granite with dilatant cracks , 2014 .

[22]  Kenny S. Crump,et al.  Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation , 1976, J. ACM.

[23]  A.P.S. Selvadurai,et al.  A geophysical application of an elastostatic contact problem , 2013 .

[24]  David J. Hart,et al.  Laboratory measurements of a complete set of poroelastic moduli for Berea sandstone and Indiana limestone , 1995 .

[25]  J. Booker,et al.  Analysis of a point sink embedded in a porous elastic half space , 1986 .

[26]  Jonny Rutqvist,et al.  Coupled reservoir-geomechanical analysis of the potential for tensile and shear failure associated with CO2 injection in multilayered reservoir-caprock systems , 2008 .

[27]  Jonny Rutqvist,et al.  Coupled reservoir-geomechanical analysis of CO2 injection at In Salah, Algeria , 2009 .

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

[29]  A.P.S. Selvadurai,et al.  Axisymmetric Indentation of a Multilayered Poroelastic Solid , 1996 .

[30]  A.P.S. Selvadurai,et al.  Scoping analyses of the coupled thermal-hydrological-mechanical behaviour of the rock mass around a nuclear fuel waste repository , 1997 .

[31]  Douglas F. Hambley,et al.  Mechanics of Porous Media , 1996 .

[32]  Worsak Kanok-Nukulchai,et al.  Point Sink Fundamental Solutions for Subsidence Prediction , 1990 .

[33]  John A. Hudson,et al.  Comprehensive rock engineering : principles, practice, and projects , 1993 .

[34]  K. T. Chau,et al.  Fluid point source and point forces in linear elastic diffusive half-spaces , 1996 .

[35]  A.P.S. Selvadurai,et al.  Axial flow hydraulic pulse testing of an argillaceous limestone , 2011 .

[36]  Guan Rong,et al.  An Empirical Failure Criterion for Intact Rocks , 2014, Rock Mechanics and Rock Engineering.

[37]  A.P.S. Selvadurai,et al.  Surface permeability tests: experiments and modelling for estimating effective permeability , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[38]  A.P.S. Selvadurai,et al.  Ground subsidence due to uniform fluid extraction over a circular region within an aquifer , 2015 .

[39]  Evert Hoek,et al.  Strength of jointed rock masses , 1983 .

[40]  J. Bear.  Dynamics of Fluids in Porous Media , 1975 .

[41]  J. Rice.  Heating and weakening of faults during earthquake slip , 2006 .

[42]  Mark E. Conrad,et al.  Vadose zone infiltration rate at Hanford, Washington, inferred from Sr isotope measurements , 2003 .

[43]  A. Selvadurai,et al.  Thermo-poromechanics of a fluid-filled cavity in a fluid-saturated geomaterial , 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

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

[45]  A. Skempton.  THE PORE-PRESSURE COEFFICIENTS A AND B , 1954 .

[46]  A. P. S. Selvadurai,et al.  Contaminant migration from an axisymmetric source in a porous medium , 2003 .

[47]  K. T. Law,et al.  Excess pore pressure in a poroelastic seabed saturated with a compressible fluid , 1994 .

[48]  A.P.S. Selvadurai,et al.  On the indentation of a poroelastic layer , 1994 .

[49]  Shaun D. Fitzgerald,et al.  A note on induced stress changes in hydrocarbon and geothermal reservoirs , 1998 .

[50]  A.P.S. Selvadurai,et al.  Stationary damage modelling of poroelastic contact , 2004 .

[51]  Jonny Rutqvist,et al.  A comparative review of hydrologic issues involved in geologic storage of CO2 and injection disposal of liquid waste , 2008 .

[52]  A.P.S. Selvadurai,et al.  The advective transport of a chemical from a cavity in a porous medium , 2002 .

[53]  L. Jing,et al.  Thermohydromechanics of partially saturated geological media : governing equations and formulation of four finite element models , 2001 .

[54]  A.P.S. Selvadurai,et al.  Normal stress‐induced permeability hysteresis of a fracture in a granite cylinder , 2015 .

[55]  A.P.S. Selvadurai,et al.  Boundary heating of poro-elastic and poro-elasto-plastic spheres , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[56]  Craig J. Hickey,et al.  Mechanics of porous media , 1994 .

[57]  Kes Heffer,et al.  Theory of linear poroelasticity with applications to geomechanics and hydrogeology , 2004 .

[58]  A.P.S. Selvadurai,et al.  Heave of a surficial rock layer due to pressures generated by injected fluids , 2009 .