Taming Complexities of Coupled Geomechanics in Rock Testing: From Assessing Reservoir Compaction to Analyzing Stability of Expandable Sand Screens and Solid Tubulars
- Mazen Y. Kanj (Saudi Aramco) | Younane N. Abousleiman (U. of Oklahoma)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- September 2007
- Document Type
- Journal Paper
- 293 - 304
- 2007. Society of Petroleum Engineers
- 1.2.1 Wellbore integrity, 1.6.9 Coring, Fishing, 1.2.2 Geomechanics, 4.3.4 Scale, 4.1.5 Processing Equipment, 5.8.7 Carbonate Reservoir, 2.4.3 Sand/Solids Control, 5.3.4 Integration of geomechanics in models, 4.1.2 Separation and Treating
- 0 in the last 30 days
- 558 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 5.00|
|SPE Non-Member Price:||USD 35.00|
Well geomechanics and "smart?? completion designs in many of Saudi Aramco's fields are essential in supporting the company's efforts to apply the extended-reach and MRC well technologies. MRC wells are being aggressively targeted to optimize development economics, enhance recovery, maximize production, minimize differential drawdown across the sand face, reduce sanding potential, and defer water coning. In addition, many unconsolidated sandstone reservoirs require positive sand-control measures. As such, Expandable Sand Screen (ESS) tubulars have seen a recent surge in applicability for completing conventional and MRC wells in sand-prone, troublesome formations. Today, solid expandable tubulars are being tested on a number of wells in a pseudo-monodiameter structure. Though attractive, the long-term performance of these tools in the Arabian Reservoir environments is yet to be explored.
This paper simulates the impact of reservoir production and depletion on expandable tubulars and sand-screen completions when the compacting reservoir behaves as a permeable poroelastic medium. A general poroelastic solution model encompassing a multitude of boundary and initial conditions is discussed in this paper. The model simulates the uniaxial (Ko) testing of solid and hollow geomaterial cylinders (Geertsma 2005). Thus, it helps infer about potential problems that might influence the survivability of "expandables?? and disrupt the outflow from the well. The proof cases on reservoir and caprocks presented herein are supported with numerical application, experimental validation, and physical interpretation of the coupled poromechanical processes that are reflected in the anisotropic, time-dependent rock responses during testing. The manuscript also demonstrates that this enhanced approach to modeling visualization will ultimately ease the tractability of the pertinent physical phenomena as well as support the model's computational credibility to engineers and experimentalists in the oil and gas industry.
Many applications in our industry take place in fluid-saturated rocks that exhibit rock matrix anisotropy due to their mode of geological deposition or diagenesis. These applications are commonly subjected to nonisothermal conditions. The theory of anisotropic poroelasticity was developed by Biot (1955), improved by Biot and Willis (1957), and reformulated with applications to civil and petroleum engineering problems by Thompson and Willis (1991) and Abousleiman and Cui (2000), among others. The reformulation of the anisotropic poroelastic theory while using laboratory techniques for the measurements of the anisotropic poromechanical parameters (Scott and Abousleiman 2002) had been of great help in assessing the effects of the parameters anisotropy in a few of the engineering applications. These applications included, for example, borehole and cylinder analyses (Abousleiman and Cui 1998; Kanj et al. 2003) and the Mandel problem (Abousleiman et al. 1996).
Sherwood (1993) proposed a modification of the Biot theory of poroelasticity (Biot 1941) to include the chemical potentials of all chemical species, within the pore fluid. Within this context, Sherwood and Bailey (1994) conducted an axisymmetric, plane-strain analysis of shale swelling around a wellbore and extended it to include the case of a finite hollow-cylindrical shale sample being subjected to a hydrostatic state of stress. In a more rigorous approach, chemical effects can be addressed by considering the pore fluid to comprise two constituents, solute and solvent, and appropriately accounting for the solute and solvent transport in and out of the porous matrix (Sherwood 1994; Ekbote and Abousleiman 2005).
|File Size||1 MB||Number of Pages||12|
Abousleiman, Y. and Cui, L. 1998. Poroelastic Solutions in TransverselyIsotropic Media for Wellbore and Cylinder. Intl. J. of Solids Structures35: 4905-4927.
Abousleiman, Y. and Cui, L. 2000. The Theory of Anisotropic PoroelasticityWith Applications. Modeling in Geomechanics. New York: J. Wiley &Sons, 559-592.
Abousleiman, Y. and Ekbote, S. 2005. Solutions for the Inclined Borehole ina Porothermoelastic Transversely Isotropic Medium. J. of AppliedMechanics 72 (1): 102-114.
Abousleiman, Y. and Kanj, M. 2004. The Generalized Lame Problem: PartII—Applications in Poromechanics. J. of Applied Mechanics 71 (2):180-189.
Abousleiman, Y., Cheng, A.H.-D., Cui, L., Detournay, E., and Roegiers, J.-C.1996. Mandel's Problem Revisited. Geotechnique 46 (2):187-195.
Bailey, L., Denis, J.H., Goldsmith, G., Hall, P.L., and Sherwood, J.D. 1994.A Wellbore Simulator for Mud-Shale Interaction Studies. J. of PetroleumScience and Engineering 11 (3): 195-211.
Biot, M.A. 1941. General Theory of Three-Dimensional Consolidation. J. ofApplied Physics 12: 155-164.
Biot, M.A. 1955. Theory of Elasticity and Consolidation of a PorousAnisotropic Solid. J. of Applied Physics 26: 182-185.
Biot, M.A. and Willis, D.G. 1957. The Elastic Coefficient of the Theory ofConsolidation. J. of Applied Mechanics 24: 594-601.
Carslaw, H.S. and Jaeger, J.C. 1959. Conduction of Heat in Solids.London: Oxford University Press.
Cheng, A.H.-D. 1997. Material coefficients of anisotropic poroelasticity.Intl. J. of Rock Mechanics and Mining Sciences 34 (2):199-205.
Cryer, C.W. 1963. A Comparison of the Three-Dimensional ConsolidationTheories of Biot and Terzaghi. Quart. J. Mech. Appl. Math. 16(3): 401-412.
Cui, L. and Abousleiman, Y. 2001. Time-dependent poromechanical responses ofsaturated cylinders. J. of Engineering Mechanics 127 (4):391-398.
Ekbote, S. and Abousleiman, Y. 2005. Porochemothermoelastic Solution for anInclined Borehole in a Transversely Isotropic Formation. J. of EngineeringMechanics 131 (5): 522-533.
Geertsma, J. 2005. Maurice Biot—I Remember Him Well. Proc., 3rd BiotConference on Poromechanics, Norman, Oklahoma, 24-27 May. Lisse, TheNetherlands: A.A. Balkema Publishers, 3-6.
Hale, A.H., Mody, F.K., and Salisbury, D.P. 1993. The Influence of Chemical Potentialon Wellbore Stability. SPEDC 8 (3): 207-216; Trans.,AIME, 295. SPE-23885-PA. DOI: 10.2118/23885-PA.
Kanj, M. and Abousleiman, Y. 2004. The Generalized Lame Problem: PartI—Coupled Poromechanical Solutions. J. of Applied Mechanics 71(2): 168-179.
Kanj, M. and Abousleiman, Y. 2005. Porothermoelastic Analyses of AnisotropicHollow Cylinders. Intl. J. of Numerical and Analytical Methods inGeomechanics 29: 103-126.
Kanj, M., Abousleiman, Y., and Cui, L. 2000. Virtual Poromechanics RockTesting and Rock Deformation: PCORE-3D. Proc., 4th North American RockMechanics Symposium (NARMS), 31 July-3 August, Seattle, Washington.
Kanj, M., Abousleiman, Y., and Ghanem, R. 2003. Poromechanics of AnisotropicHollow Cylinders. J. of Engineering Mechanics 129 (11):1277-1287.
Katsube, N. 1988. The Anisotropic Thermomechanical Constitutive Theory forFluid-Filled Porous Materials with Solid/Fluid Outer Boundaries. Intl. J. ofSolids Structures 24 (4): 375-380.
Kurashige, M. 1989. A Thermoelastic Theory of Fluid-Filled Porous Materials.Intl. J. of Solids Structures 25 (9): 1039-1052.
Mandel, J. 1953. Consolidation des Sols Etude Mathematique.Geotechnique 3: 287-299.
McTigue, D.F. 1986. Thermoelastic Response of Fluid-Saturated Porous Rock.J. of Geophysical Research 91 (B9): 9533-9542.
Scott, T.E. and Abousleiman, Y. 2002. An Experimental Method for MeasuringAnisotropic Poroelastic Biot's Effective Stress Parameters From Acoustic WavePropagation. Proc., 2nd Biot Conference on Poromechanics, Grenoble,France, 26-28 August. Lisse, The Netherlands: A.A. Balkema Publishers,801-806.
Sherwood, J.D. 1993. Biot Poroelasticity of a Chemically Active Shale. R.Soc. Lond. Ser. A 440: 365-377.
Sherwood, J.D. 1994. A Model of Hindered Solute Transport in a PoroelasticShale. R. Soc. Lond. Ser. A 445: 679-692.
Sherwood, J.D. and Bailey, L. 1994. Swelling of Shale Around a CylindricalWellbore. R. Soc. Lond. A 444: 161-184.
Thompson, M. and Willis, J.R. 1991. A reformulation of the equations ofanisotropic poroelasticity. J. of Applied Mechanics 58:612-616.