Consolidation of a double-porosity medium

Lewallen, Kyle; Wang, H.F.

doi:10.1016/s0020-7683(98)00097-3

Cited by 38 publications

(19 citation statements)

References 14 publications

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“…double-porosity media were considered here in Appendix A. The d.c. permeabilities for double-porosity media have been considered in Berryman and Wang (1995) and in Lewallen and Wang (1998).…”

Section: Discussionmentioning

confidence: 99%

“…Most of the mechanical properties were obtained from measurements made by Coyner (1984). The permeability values for the matrix k 11 and the fractures k 22 are the same as those used by Lewallen and Wang (1998). The approach described in the preceding text, together with the results obtained in Appendices A and B, has been implemented by writing a Fortran code and computing the eigenvalues for the three compressional modes and their corresponding eigenvectors in the frequency range 10.0 Hz to 1 MHz.…”

Section: Examplementioning

confidence: 99%

“…The previously published work concentrated on the fluid flow aspects of this problem in order to deal with the interactions between fluid withdrawal and the elastic behavior (closure) of fractures during reservoir drawdown. The resulting equations have been applied recently to the reservoir consolidation problem by Lewallen and Wang (1998).…”

Section: Introductionmentioning

confidence: 99%

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Elastic wave propagation and attenuation in a double-porosity dual-permeability medium

Berryman

Wang

2000

International Journal of Rock Mechanics and Mining Sciences

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231

124

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To account for large-volume low-permeability storage porosity and low-volume highpermeability fracture/crack porosity in oil and gas reservoirs, phenomenological equations for the poroelastic behavior of a double porosity medium have been formulated and the coefficients in these linear equations identified. This generalization from a single porosity model increases the number of independent inertial coefficients from three to six, the number of independent drag coefficients from three to six, and the number of independent stress-strain coefficients from three to six for an isotropic applied stress and assumed isotropy of the medium. The analysis leading to physical interpretations of the inertial and drag coefficients is relatively straightforward, whereas that for the stress-strain coefficients is more tedious. In a quasistatic analysis, the physical interpretations are based upon considerations of extremes in both spatial and temporal scales. The limit of very short times is the one most pertinent for wave propagation, and in this case both matrix porosity and fractures are expected to behave in an undrained fashion, although our analysis makes no assumptions in this regard. For the very long times more relevant to reservoir drawdown, the double porosity medium behaves as an equivalent single porosity medium. At the macroscopic spatial level, the pertinent parameters (such as the total compressibility) may be determined by appropriate field tests. At the mesoscopic scale pertinent parameters of the rock matrix can be determined directly through laboratory measurements on core, and the compressiblity can be measured for a single fracture. We show explicitly how to generalize the quasistatic results to incorporate wave propagation effects and how effects that are usually attributed to squirt flow under partially saturated conditions can be explained alternatively in terms of the double-porosity model. The result is therefore a theory that generalizes, but is completely consistent with, Biot's theory of poroelasticity and is valid for analysis of elastic wave data from highly fractured reservoirs.

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Section: Discussionmentioning

confidence: 99%

Section: Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Elastic wave propagation and attenuation in a double-porosity dual-permeability medium

Berryman

Wang

2000

International Journal of Rock Mechanics and Mining Sciences

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231

124

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“…The theory of fractured porous media is based on the concept of double porosity and several problems in such media have been studied extensively by many researchers. Notable among these are Barenblatt et al (1960b), Barenblatt (1963), Kazemi (1969), Shapiro (1987), Nilson and Lie (1990), Cho et al (1991), Bai et al (1993a,b), Berryman and Wang (1995), Tuncay and Corapciaglu (1995), Bai (1999), Lewallen and Wang (1998). Aifantis and his co-workers (Wilson and Aifantis 1982;Beskos and Aifantis 1986;Khaled et al 1984) published interesting and important series of papers on saturated fractured porous media.…”

Section: Introductionmentioning

confidence: 99%

Seismic Reflection from an Interface Between an Elastic Solid and a Fractured Porous Medium with Partial Saturation

Arora

Tomar

2010

Transp Porous Med

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The theory of Tuncay and Corapcioglu (Transp Porous Media 23:237-258, 1996a) has been employed to investigate the possibility of plane wave propagation in a fractured porous medium containing two immiscible fluids. Solid phase of the porous medium is assumed to be linearly elastic, isotropic and the fractures are assumed to be distributed isotropically throughout the medium. It has been shown that there can exist four compressional waves and one rotational wave. The phase speeds of these waves are found to be affected by the presence of fractures, in general. Of the four compressional waves, one arises due to the presence of fractures in the medium and the remaining three are those encountered by Tuncay and Corapcioglu (J Appl Mech 64:313-319, 1997). Reflection and transmission phenomena at a plane interface between a uniform elastic half-space and a fractured porous half-space containing two immiscible fluids, are analyzed due to incidence of plane longitudinal/transverse wave from uniform elastic half-space. Variation of modulus of amplitude and energy ratios with the angle of incidence are computed numerically by taking the elastic half-space as granite and the fractured porous half-space as sandstone material containing non-viscous wetting and non-wetting fluid phases. The results obtained in case of porous half-space with fractures, are compared graphically with those in case of porous halfspace without fractures. It is found that the presence of fractures in the porous half-space do affect the reflection/transmission of waves, which is responsible for raising the reflection and lowering the transmission coefficients.

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“…The continuum Contract/grant sponsor: NSF mechanics-based formulation of the dual-porosity concept [10,11] has led to various dualporosity poroelastic models being applied to problems involving consolidation and, evaluation of stress, pressure and failure fields around boreholes in fractured porous media [12][13][14]. Owing to difficulty in both the understanding of the phenomena of heat and mass transport in fractured porous media and the mathematical formulation, the problem of non-isothermal flow in such media has rarely been addressed.…”

Section: Introductionmentioning

confidence: 99%

A finite element porothermoelastic model for dual‐porosity media

Nair

Abousleiman

Zaman

2004

Num Anal Meth Geomechanics

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SUMMARYAn existing dual-porosity finite element model has been extended to include thermo-hydro-mechanical coupling in both media. The model relies on overlapping distinct continua for the fluid and solid domains. In addition, conductive and convective heat transfers are incorporated using a single representative thermodynamics continuum. The model is applied to the problem of an inclined borehole drilled in a fractured formation subjected to a three-dimensional state of stress and, a temperature gradient between the drilling fluid and the formation. A sensitivity analysis has been carried out to study the impact of thermal loading, effect of heat transport by pore fluid flow and, the effect of parameters of the secondary medium used to represent the fractures.

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Consolidation of a double-porosity medium

Cited by 38 publications

References 14 publications

Elastic wave propagation and attenuation in a double-porosity dual-permeability medium

Elastic wave propagation and attenuation in a double-porosity dual-permeability medium

Seismic Reflection from an Interface Between an Elastic Solid and a Fractured Porous Medium with Partial Saturation

A finite element porothermoelastic model for dual‐porosity media

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