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

• Datum: 2013
• 1. Verfasser: SITNIKOV, A.B.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Geological Sciences, NAS of Ukraine 2013
• Schlagworte: aeration zone; soils; kerosene; water; migration; interfacial tension; pressure; volume content; motion; predictive calculations; convergence; uniqueness; 519.87; 004.421.2; (556.332; 550.42)
• Online Zugang: http://geojournal.igs-nas.org.ua/article/view/139080
• Назва журналу: Geological journal

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.