PORFLO: A continuum model for fluid flow, heat transfer and mass transport in porous media. Model theory, numerical methods and computational tests
Abstract
Postclosure performance assessment of the proposed highlevel nuclear waste repository in flood basalts at Hanford requires that the processes of fluid flow, heat transfer, and mass transport be numerically modeled at appropriate space and time scales. A suite of computer models has been developed to meet this objective. The theory of one of these models, named PORFLO, is described in this report. Also presented are a discussion of the numerical techniques in the PORFLO computer code and a few computational test cases. Three twodimensional equations, one each for fluid flow, heat transfer, and mass transport, are numerically solved in PORFLO. The governing equations are derived from the principle of conservation of mass, momentum, and energy in a stationary control volume that is assumed to contain a heterogeneous, anisotropic porous medium. Broad discrete features can be accommodated by specifying zones with distinct properties, or these can be included by defining an equivalent porous medium. The governing equations are parabolic differential equations that are coupled through timevarying parameters. Computational tests of the model are done by comparisons of simulation results with analytic solutions, with results from other independently developed numerical models, and with available laboratory and/or field data. In this report, in addition to the theory of the model, results from three test cases are discussed. A users' manual for the computer code resulting from this model has been prepared and is available as a separate document.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 September 1985
 Bibcode:
 1985STIN...8629160R
 Keywords:

 Basalt;
 Fluid Flow;
 Heat Transfer;
 Mass;
 Mass Transfer;
 Mathematical Models;
 Porosity;
 Porous Materials;
 Continuum Modeling;
 Differential Equations;
 Flow Theory;
 Numerical Analysis;
 Transport Theory;
 Fluid Mechanics and Heat Transfer