in this paper, the combined effect of suspended (fine dust) particles and rotation on the onset of thermosolutal convection in an elastico-viscous fluid in a porous medium is studied. for the porous medium, the brinkman model is employed and rivlin-ericksen model is used to characterize viscoelastic fluid. by applying normal mode analysis method, the dispersion relation has been derived and sol...

constant rate of strain (crs) consolidation is a rapid test method used for determination of compressibility of clayey soils. in a crs test, the appropriate strain rate is selected based on pore water pressure ratio, i.e. the ratio of pore pressure to total stress. in the present study, to investigate the effect of strain rate on variation of relative pore water pressure, four different clay sa...

We developed two new EOS additions to the TOUGH+ family of codes, the RealGasH2O and RealGas. The RealGasH2O EOS option describes the non-isothermal two-phase flow of water and a real gas mixture in a gas reservoir (including a tight/shale gas one). The gas mixture is treated as either a single-pseudocomponent having a fixed composition, or as a multicomponent system composed of up to 9 individ...

rock has been advantageously employed in hydraulic structures such as rockfill dams, gabion weirs and drain works. one rockfill dam applications can be flood control in wa-tershed management. the objectives of building rockfill detention dams are flow storage for a specific period and lowering of the outflow hydrograph. as this type of dam consists of coarse particles, seepage flow will deviate...

Natural convection (NC) in high permeable porous media is usually investigated using the Darcy–Lapwood–Brinkman model (DLB). The problem of squared cavity widely used as a common benchmark case for NC media. solutions to this with DLB are limited steady-state conditions. In paper, we developed time-dependent accurate solution based on Fourier–Galerkin method (FG). derived considering two config...

The bio-thermal convection in a rotating layer of porous medium saturated with Newtonian fluid gyrotactic microorganisms is studied on the basis Darcy–Brinkman model. A linear analysis carried out using Galerkin method for rigid-rigid boundary conditions. In stationary regime, we obtained dispersion equation relation between thermal Rayleigh–Darcy number and bioconvection. influence Peclet numb...

In this article, we present two Monte Carlo methods to solve some problems related to the Darcy law in geophysics. Both methods do not require any discretization and are exact methods.

In this article, we present two Monte Carlo methods to solve some problems related to the Darcy law in geophysics. Both methods do not require any discretization and are exact methods.

With methods of potential theory we develop a representation of the solution of a coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H−1/2.

The onset of double diffusive convection in a binary viscoelastic fluid saturated porous layer, which is heated and salted from below in the presence of Soret effect is studied using both linear and nonlinear stability analyses. The linear theory is being related to the normal mode method. The modified Darcy law for the viscoelastic fluid of the Oldroyd type is used to model the momentum equati...