The deformation of fluid elements governs many processes in porous media, including the transport, dispersion and mixing solutes, chemical reactions colloidal particles. Recently, it has been shown that even strongly heterogeneous steady three-dimensional (3-D) Darcy flow with isotropic hydraulic conductivity admits only constrained kinematics. This is due to its inherently helicity-free nature...

Unconventional hydrocarbon resources from low-permeability formation, i.e., tight sands and shales, are currently received great attention because of their potential to supply the entire world with sufficient energy for the decades to come. In the past few years, as a result of industry-wide R&D effort, progresses are being made towards commercial development of gas and oil from such unconventi...

Least stable mode of convective flow, induced by external pressure gradient and buoyancy force in the vertical pipe filled with porous medium, is investigated. Non-Darcy Brinkman-extended model has been considered. To study least stable mode of the fully developed flow linear theory of stability analysis has been used for an wide range [0.01, 100] of Prandtl number (Pr). To this end, coupled or...

A physically based inverse method is developed using hybrid formulation and coordinate transform to simultaneously estimate hydraulic conductivity tensors, steady-state flow field, and boundary conditions for a confined aquifer under ambient flow or pumping condition. Unlike existing indirect inversion techniques, the physically based method does not require forward simulations to assess model-...

This paper presents a finite volume discretization of two-phase Darcy flows in discrete fracture networks taking into account the mass exchange between the matrix and the fracture. We consider the asymptotic model for which the fractures are represented as interfaces of codimension one immersed in the matrix domain, leading to the so called hybrid dimensional Darcy flow model. The pressures at ...

The flow interception efficiency, which provides a measure of the fraction of streamlines that intercept a porous collector, is an important parameter in applications such as particle capture, filtration, and sedimentation. In this work, flow permeation through a porous circular cylinder located symmetrically between two impermeable parallel plates is investigated numerically under different fl...

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 ...

A local interpolation operator, preserving the divergence, is constructed explicitly, which is the first ever one for the divergence-free elements. A divergence-free finite element method is applied to the Darcy-Stokes-Brinkman flow in a mixed region of both free and porous medium. The method is of optimal order in contrast to the traditional H and H mixed finite elements, which work for either...

Continuity and momentum equations govern the pore-scale flow properties of fluid in porous media, whereas Darcy’s law governs Darcy scale transport media. The empirical shift factor relates steady shear-dependent viscosity non-Newtonian fluids to reported values cover three orders magnitude depending on considered fluid-medium configurations. This creates a challenge upscale rheology from scale...