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Article · Engineered Science · January 1, 2025
The Structure of all Possible Solutions to the Buckley-Leverett Model
Anvarbek Mukatovich Meirmanov, Marat Nurtas, Oleg Galtsov, Aizhan Ydyrys, Merey Kenzhebayeva
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
Differential Equations and Boundary ProblemsNonlinear Partial Differential EquationsReservoir Engineering and Simulation MethodsBuckley-Leverett equationfree boundary problemoil displacement
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