Two-phase porous media flows with dynamic capillary effects and hysteresis: Uniqueness of weak solutions
نویسندگان
چکیده
In this paper, we obtain the uniqueness of weak solutions for a two phase flow model in a porous medium. A particularity of the model is that the dynamic effects and hysteresis are included in the capillary pressure.
منابع مشابه
Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous media
In this paper, we prove the uniqueness of weak solutions for a pseudoparabolic equation modeling two-phase flow in a porous medium, where dynamic effects are included in the capillary pressure.
متن کاملNon-equilibrium Models for Two Phase Flow in Porous Media: the Occurrence of Saturation Overshoots
Several experiments have evidenced the occurrence of saturation overshoots for flows in homogeneous porous media. Such phenomena are ruled out by standard mathematical models, which are based on equilibrium assumptions. In this presentation we discuss nonequilibrium models, in particular including dynamic effects in the capillary pressure. This leads to extensions of the classical Buckley-Lever...
متن کاملHysteresis models and gravity fingering in porous media
We study flow problems in unsaturated porous media. Our main interest is the gravity driven penetration of a dry material, a situation in which fingering effects can be observed experimentally and numerically. The flow is described by either a Richards or a two-phase model. The important modelling aspect regards the capillary pressure relation which can include static hysteresis and dynamic cor...
متن کاملTwo-phase flows involving capillary barriers in heterogeneous porous media
We consider a simplified model of a two-phase flow through a heterogeneous porous medium, in which the convection is neglected. This leads to a nonlinear degenerate parabolic problem in a domain shared in an arbitrary finite number of homogeneous porous media. We introduce a new way to connect capillary pressures on the interfaces between the homogeneous domains, which leads to a general notion...
متن کاملFinite volume scheme for two-phase flow in heterogeneous porous media involving capillary pressure discontinuities
We study a one dimensional model for two-phase flows in heterogeneous media, in which the capillary pressure functions can be discontinuous with respect to space. We first give a model, leading to a system of degenerated non-linear parabolic equations spatially coupled by non linear transmission conditions. We approximate the solution of our problem thanks to a monotonous finite volume scheme. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 69 شماره
صفحات -
تاریخ انتشار 2015