The Structure of all Possible Solutions to the Buckley-Leverett Model

Engineered Science, 2025

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DOI 10.30919/es1772
Data confidence 70 medium
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Abstract

We consider a free boundary problem for a one-dimensional system of Buckley-Leverett equations, describing the displacement of oil by a suspension.For this problem we formulated conditions for the strong decay of the discontinuity of the initial oil concentration.We will prove that the phenomenological Buckley-Leverett model does not adequately describe the physical process under