Solution of Riemann problems for hyperbolic systems of conservation laws modeling two-phase flow in general stream tube geometries
| Autor: | Thormod E. Johansen, X. Liu |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Conservation law
General Mathematics Scalar (mathematics) Mathematical analysis General Engineering 010103 numerical & computational mathematics 01 natural sciences Riemann solver Volumetric flow rate 010101 applied mathematics Riemann hypothesis symbols.namesake Reservoir simulation Riemann problem symbols Two-phase flow 0101 mathematics Mathematics |
| Zdroj: | Journal of Engineering Mathematics. 105:137-155 |
| ISSN: | 1573-2703 0022-0833 |
| DOI: | 10.1007/s10665-016-9887-1 |
| Popis: | This paper describes a procedure for the analytical solution of Riemann problems for multi-component, two-phase flow in general stream tube geometries in porous media. The procedure is first described for a scalar hyperbolic conservation law modeling waterflooding of an oil reservoir. Thereafter, it is easy to generalize the procedure to Riemann problems for multi-component, two-phase systems of hyperbolic conservation laws, for which the associated 1D Riemann problem has a known solution. The procedure is described for both constant flow rate and constant boundary pressures as imposed Riemann data. In the latter case, the flow rate is time-dependent and its novel analytical solution is constructed in this paper, clearly demonstrating a non-trivial impact of the flow geometry on the solution. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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