A nonlinear dual-porosity model
type: Item
instance of: scholarly article
title: A nonlinear dual-porosity model
zbMATH Open document ID: 0817.76087
DOI: 10.1016/0307-904X(94)90318-2
author: Mao Bai
author: Qinggang Ma
author: J.-C. Roegiers
published in: Applied Mathematical Modelling
publication date: 1995-07-23T00:00:00Z
review text: A nonlinear dual-porosity formulation incorporating a quadratic gradient term in the governing flow equation is presented. To avoid solving the simultaneous system of equations, decoupling of fluid pressures in the matrix from the fractures is furnished by assuming a quasi-steady-state flow in the matrix with the pressure difference between matrix and fractures as a primary unknown. The nonlinear fracture flow equation is linearized using the function transformation currently adopted in the nonlinear single-porosity formulation. Analytical solutions are obtained in a radial flow domain using the Hankel transform. Both solution accuracy and efficiency are achieved by using an optimized algorithm when solving the inherent Bessel functions.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M25
zbMATH DE Number: 722535
zbMATH Keywords: solution optimization
zbMATH Keywords: analytical model
zbMATH Keywords: quadratic gradient term
zbMATH Keywords: decoupling
zbMATH Keywords: quasi-steady-state flow
zbMATH Keywords: matrix
zbMATH Keywords: fracture flow equation
zbMATH Keywords: radial flow
zbMATH Keywords: Hankel transform
zbMATH Keywords: Bessel functions
MaRDI profile type: Publication
cites work: Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
cites work: Dual‐porosity behaviour of naturally fractured reservoirs
full work available at URL: 0307-904x(94)90318-2
OpenAlex ID: W2027252590
description: scientific article; zbMATH DE number 722535