SUBSTANTIATION FOR THE STABLE CALCULATIVE EXPLICIT FINITE-DIFFERENCE SCHEME IN THE REALIZATION FOR THE INITIAL PHYSIC-MATHEMATICAL MODEL OF JOINT NONLINEAR MIGRATION FOR LIQUID HYDROCARBONS AND UNDERGROUND MOISTURE INTO SOILS WITHIN THE AERATION ZONE
The physic-mathematical model for the joint migration of light hydrocarbons and underground moisture into unsaturated – saturated soils within the aeration zone as the nonlinear migration differentiation equations system, which aren't in general the accurate solution are considered. In order to...
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| Date: | 2013 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Geological Sciences, NAS of Ukraine
2013
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| Subjects: | |
| Online Access: | http://geojournal.igs-nas.org.ua/article/view/139080 |
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| Journal Title: | Geological journal |
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Geological journal| Summary: | The physic-mathematical model for the joint migration of light hydrocarbons and underground moisture into unsaturated – saturated soils within the aeration zone as the nonlinear migration differentiation equations system, which aren't in general the accurate solution are considered. In order to realize the finite-difference approximation for these equations it's proposed a few calculation explicit difference schemes for their solutions. The required stable convergence with the fixed accuracy of the solution to the unique possible result assumes the successive iterative calculations according to our recommended formulae for each migration equation separately that we have proved. The case study with the 2-m soil monolith allows examining the most effective explicit scheme for the stable and convergent solution of the equations in the general case for the unstable migration of liquid kerosene and underground moisture under the boundary conditions of the first and second kinds in the primary absence of hydrocarbon and then the full saturation by it. |
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