The Numerical Modeling of a Two Phase Flow under the Gravitation and Centrifuge Driving Forces

Abstract:

An efficient numerical approximation for two phase flow in 1D is presented. Mathematicalmodel is based on two Richard’s type equations using Van Genuchten-Mualem (vG-M) model for capillarypressure-saturation and hydraulic permeability versus saturation of wetting liquid. The wettingand non-wetting liquids are incompressible and immiscible. The method is suitable for determinationof soil parameters (as a tunning parameters in vG-M model) via solution of inverse problem. Wettingliquid (-water) is injected into the sample originally saturated with non-wetting liquid (-oil) by gravitation,or centrifuge driving forces. In a series of experiments we discuss noninvasive (easy-to-measure)measurement scenarios which are satisfactory in a solution of inverse problem.

• Periodical: Defect and Diffusion Forum (Volume 362)
• Pages: 58-66
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.362.58
• Online since: April 2015
• Authors: Jozef Kačur, Jozef Minár, P. Kišon
• Keywords: Centrifugation, Inverse Problem, Two-Phase Flow

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