Properties of Generalized Forchheimer Flows in Porous Media
نویسندگان
چکیده
منابع مشابه
PROPERTIES OF GENERALIZED FORCHHEIMER FLOWS IN POROUS MEDIA By
The nonlinear Forchheimer equations are used to describe the dynamics of fluid flows in porous media when Darcy's law is not applicable. In this article, we consider the generalized Forchheimer flows for slightly compressible fluids and study the initial boundary value problem for the resulting degenerate parabolic equation for pressure with the time-dependent flux boundary condition. We estima...
متن کاملStructural Stability of Generalized Forchheimer Equations for Compressible Fluids in Porous Media
We study the generalized Forchheimer equations for slightly compressible fluids in porous media. The structural stability is established with respect to either the boundary data or the coefficients of the Forchheimer polynomials. An inhomogeneous Poincare-Sobolev inequality related to the non-linearity of the equation is used to study the asymptotic behavior of the solutions. Moreover, we prove...
متن کاملComparison of Binomial and Power Equations in Radial Non-Darcy Flows in Coarse Porous Media
Analysis of non-laminar flows in coarse alluvial beds has a wide range of applications in various civil engineering, oil and gas, and geology problems. Darcy equation is not valid to analyze transient and turbulent flows, so non-linear equations should be applied. Non-linear equations are classified into power and binomial equations. Binomial equation is more accurate in a wide range of velocit...
متن کاملTransient flows in active porous media.
Stimuli-responsive materials that modify their shape in response to changes in environmental conditions-such as solute concentration, temperature, pH, and stress-are widespread in nature and technology. Applications include micro- and nanoporous materials used in filtration and flow control. The physiochemical mechanisms that induce internal volume modifications have been widely studied. The co...
متن کاملCentral schemes for porous media flows
We are concerned with central differencing schemes for solving scalar hyperbolic conservation laws arising in the simulation of multiphase flows in heterogeneous porous media. We compare the Kurganov-Tadmor (KT) [3] semi-discrete central scheme with the NessyahuTadmor (NT) [27] central scheme. The KT scheme uses more precise information about the local speeds of propagation together with integr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2014
ISSN: 1072-3374,1573-8795
DOI: 10.1007/s10958-014-2045-2