Averaging algorithms and the support-operator method for poroelasticity problems

Myasnikov, V. P.; Zaslavsky, Mikhail; Pergament, A. Kh.

doi:10.1134/1.1795963

Cited by 3 publications

(1 citation statement)

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“…The method on which this work is based was created in [30][31][32] and extended for more general cases in [33,34]. The mentioned works resulted in a universal algorithm that does not require any additional premises on the properties of coefficients (such as periodicity and isotropy) or on the particular location of discontinuity lines.…”

Section: Methods Of Averagingmentioning

confidence: 99%

The study of relative phase-permeability functions for anisotropic media

Pergament

Tomin

2012

Math Models Comput Simul

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Properties of relative phase permeability functions for different characteristic configura tions of a medium with anisotropic filtration properties are studied using the numerical analytical method. The anisotropy may be related to fracturing created, e.g., as a result of a brittle rupture. Cor relations between tensors of the phase and absolute permeabilities are analyzed on the assumption of capillary equilibrium. Examples of relative phase permeability functions are obtained for media with orthotropic and monoclinic symmetry of filtration properties. The influence of the property of con nectivity on the found functions is shown, and the dependence of the position of the principal axes of the phase permeability tensor on saturation is also investigated. Thereby, the misalignment of the ten sors of the phase and absolute permeabilities is shown. The results qualitatively agree with the experi mental data.

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Section: Methods Of Averagingmentioning

confidence: 99%