APPLICATION OF PERTURBATION THEORY IN SOLVING FLUID-SOLID COUPLING SEEPAGE FLOW
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Graphical Abstract
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Abstract
The perturbation theoryis used to solve a nonlinear fluid-solid couplingseepage flow problem, where a small parameter is introduced. A numerical example is given to analyze the pore pressurealong the horizontal distance at different saturation s and time t.The theoreticalevidence is provided for the relation ofpressure-saturation-permeability. Furthermore, a reliable analysis method isoffered to solve the nonlinear partial differential equations.
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