Fractured karstic carbonate reservoirs have obvious multi-scale characteristics and severe heterogeneity due to the development of abundant karst caves fractures with different scales. Darcy non-Darcy flows coexist this property. Therefore, selecting appropriate flow equations for regions in numerical simulation fluid flows, particularly two-phase multiphase is a critical topic. This paper comp...

To investigate the static characteristics of aerostatic journal bearings with porous bushing, flow model—in which compressibility lubricating gas is considered—is established based on Reynolds lubrication equation, Darcy equation for material, and continuity equation. With finite difference method, schemes non-uniform grids, relaxation virtual node numerical method governing equations compressi...

Phonological rules introduce variation in word forms that listeners have to compensate for. We previously showed (Darcy 2002; Darcy et al., to appear) that compensation for phonological variation in perception is driven by languagespecific mechanisms. In particular, English speakers compensate more for place assimilation than for voicing assimilation, whereas the reverse holds for French speake...

This paper proposes a parallel numerical algorithm to simulate the flow and the transport in a discrete fracture network taking into account the mass exchanges with the surrounding matrix. The discretization of the Darcy fluxes is based on the Vertex Approximate Gradient finite volume scheme adapted to polyhedral meshes and to heterogeneous anisotropic media, and the transport equation is discr...

This study concerns some asymptotic models used to compute the flow outside and inside fractures in a bidimensional porous medium. The flow is governed by the Darcy law both in the fractures and in the porous matrix with large discontinuities in the permeability tensor. These fractures are supposed to have a small thickness with respect to the macroscopic length scale, so that we can asymptotic...

Water movement in an unsaturated porous medium (soil) can be expressed by Richards equation with the mass conservation law and Darcy-Buckingham's law. This three different forms as pressure head-based, moisture content based mixed from. In this study, we solve one dimensional Equation form numerically using finite difference method various time-stepping schemes: Forward Euler, Backward Crank-Ni...

Abstract Fault water inrush accident in coal mine construction is a serious hydrogeological disaster, which seriously endangers the safe operation of underground engineering. In process mining resources Western China, large number accidents have occurred. Based on investigation geological conditions fault Pingdingshan mine, coupling model Darcy laminar flow and Brinkman used to analyze mechanis...

The present study investigates the effect of mass transpiration on heat absorption/generation, thermal radiation and chemical reaction in magnetohydrodynamics (MHD) Darcy–Forchheimer flow a Newtonian fluid at thermosolutal Marangoni boundary over porous medium. region consists H2O as base fractions TiO2–Ag nanoparticles. mathematical approach given here employs similarity transformation, order ...

This work aims to introduce and analyze an adaptive stabilized finite element method solve a nonlinear Darcy equation with pressure-dependent viscosity mixed boundary conditions. We stated the discrete problem’s well-posedness optimal error estimates, in natural norms, under standard assumptions. Next, we residual-based posteriori estimator for scheme. Finally, present some two- three-dimension...