Considered the characteristics of porous medium in coal seam and goaf, order to reflect accurately influence various media against gas flow, mathematical model discrete multi-scale network macroscopic CFCM (Coal-Fracture-Cavity-Model), was presented. The is classified into matrix, fracture hole systems based on size, matrix system includes micro fractures micro-porous. can be regarded as diffus...

Electrokinetic flows with heterogeneous conductivity configuration occur widely in microfluidic applications such as sample stacking and multidimensional assays. Electromechanical coupling in these flows may lead to complex flow phenomena, such as sample dispersion due to electro-osmotic velocity mismatch, and electrokinetic instability (EKI). In this work we develop a generalized electrokineti...

Abstract The filled broken rock mass in a geothermal reservoir under high-pressure work fluid and overburden stress is of great significance to the efficient operation system. pore structure hydraulic properties were quantitatively investigated by nuclear magnetic resonance (NMR) technology non-Darcy models. at lower compressive levels shows stronger compressibility, gangue with more small part...

We summarize observations made by various researchers regarding the discharge potential, vertically integrated flows, and the Dupuit-Forchheimer approximation. If a regional flow model is formulated in terms of the discharge potential and the boundary conditions can be written in terms of the discharge potential and the boundary discharges, then the discharges are correct throughout the model d...

Abstract. Much of the work on flow through porous media, especially with regard to studies on the flow of oil, are based on “Darcy’s law” or modifications to it such as Darcy-Forchheimer or Brinkman models. While many theoretical and numerical studies concerning flow through porous media have taken into account the inhomogeneity and anisotropy of the porous solid, they have not taken into accou...

Abstract. Much of the work on flow through porous media, especially with regard to studies on the flow of oil, are based on “Darcy’s law” or modifications to it such as Darcy-Forchheimer or Brinkman models. While many theoretical and numerical studies concerning flow through porous media have taken into account the inhomogeneity and anisotropy of the porous solid, they have not taken into accou...

This contribution proposes two third-order numerical schemes for solving time-dependent linear and non-linear partial differential equations (PDEs). For spatial discretization, a compact fourth-order scheme is deliberated. The stability of the proposed set scalar equation, whereas its convergence specified system parabolic equations. applied to equation systems comprises governing heat mass tra...

In this paper, the structural stability has been investigated in problem of thermal convection a Forchheimer-Brinkman type. The considered when variable viscosity quadratic temperature dependence and density saturating fluid cubic dependence. These problems require mundane situations, such as salinization models include substantial differences density. Therefore, recent work, we discuss priori ...