Multiporosity/multipermeability approach to the simulation of naturally fractured reservoirs

Mao Bai, Derek Elsworth, Jean‐Claude ‐C Roegiers

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198 Scopus citations


This paper presents an array of deformation‐dependent flow models of various porosities and permeabilities relevant to the characterization of naturally fractured reservoirs. A unified multiporosity multipermeability formulation is proposed as a generalization of the porosity‐ or permeability‐oriented models of specific degree. Some new relationships are identified in the parametric investigation for both single‐porosity and dual‐porosity models. A formula is derived to express Skempton's constant B by Biot's coefficient H and relative compressibility ϕ*. It is found that the recovery of the original expression for Skempton's constant B is largely dependent on the choice of ϕ*, representing relative compressibility. The dual‐porosity/dual‐permeability model is evaluated through an alternative finite element approximation. The deformation‐dependent fracture flow mechanism is introduced where the rock matrix possesses low permeability and fracture flow is dominant. A preliminary study of the reservoir simulation identifies the strong coupling between the fluid flow and solid deformation.

Original languageEnglish (US)
Pages (from-to)1621-1633
Number of pages13
JournalWater Resources Research
Issue number6
StatePublished - Jun 1993

All Science Journal Classification (ASJC) codes

  • Water Science and Technology


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