Abstract
In this paper, a high-order numerical scheme by using fourth-order implicit Runge–Kutta method and block-centered finite difference method is constructed to solve the compressible wormhole propagation. For the evolution of porosity, high-order interpolation technique and cut-off approach are applied to achieve high-order and bound-preserving. Finally, some numerical experiments are presented to demonstrate the correctness and capability of the given scheme.
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