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1.
Three node-centered finite volume discretizations for multiphase porous media flow are presented and compared. By combination
of these methods two additional discretization methods are generated. The ability of these schemes to describe flows at textural
interfaces of different geologic formations is investigated. It was found that models with nonzero-entry pressures for the
capillary pressure-saturation relationship in conjunction with the Box discretization may give rise to spurious oscillations
for flows around low permeable lenses. Furthermore, the applicability and sensitivity of the discretization methods with regard
to the used computational grids is discussed. The schemes are used for the numerical study of two-phase flow in porous media
with zones of different material properties.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
2.
The use of laboratory experiments for the study of conservative solute transport in heterogeneous porous media 总被引:3,自引:1,他引:3
Laboratory experiments on heterogeneous porous media (otherwise known as intermediate scale experiments, or ISEs) have been
increasingly relied upon by hydrogeologists for the study of saturated and unsaturated groundwater systems. Among the many
ongoing applications of ISEs is the study of fluid flow and the transport of conservative solutes in correlated permeability
fields. Recent advances in ISE design have provided the capability of creating correlated permeability fields in the laboratory.
This capability is important in the application of ISEs for the assessment of recent stochastic theories. In addition, pressure-transducer
technology and visualization methods have provided the potential for ISEs to be used in characterizing the spatial distributions
of both hydraulic head and local water velocity within correlated permeability fields. Finally, various methods are available
for characterizing temporal variations in the spatial distribution (and, thereby, the spatial moments) of solute concentrations
within ISEs. It is concluded, therefore, that recent developments in experimental techniques have provided an opportunity
to use ISEs as important tools in the continuing study of fluid flow and the transport of conservative solutes in heterogeneous,
saturated porous media.
Received, December 1996 · Revised, July 1997 · Accepted, August 1997 相似文献
3.
Michael D. Tocci C.T. Kelley Cass T. Miller Christopher E. Kees 《Computational Geosciences》1998,2(4):291-309
Richards' equation (RE) is often used to model flow in unsaturated porous media. This model captures physical effects, such as sharp fronts in fluid pressures and saturations, which are present in more complex models of multiphase flow. The numerical solution of RE is difficult not only because of these physical effects but also because of the mathematical problems that arise in dealing with the nonlinearities. The method of lines has been shown to be very effective for solving RE in one space dimension. When solving RE in two space dimensions, direct methods for solving the linearized problem for the Newton step are impractical. In this work, we show how the method of lines and Newton-iterative methods, which solve linear equations with iterative methods, can be applied to RE in two space dimensions. We present theoretical results on convergence and use that theory to design an adaptive method for computation of the linear tolerance. Numerical results show the method to be effective and robust compared with an existing approach. 相似文献