Acoustic Wave Propagation Modeling using High-order Cell-based Finite-difference Methods

Jun Hyeon Jo, Wansoo Ha · Journal of the Korean Society of Mineral and Energy Resources Engineers · 2021

We propose high-order finite-difference methods for acoustic wave propagation modeling considering the P-wave velocity and density.We can simulate wave propagation without directly differentiating discontinuous medium parameters using the cell-based finite-difference method.However, a limitation of the conventional cell-based finite-difference method using the second-order scheme is that it requires a large number of grids per wavelength to obtain an accurate result.We improve the conventional cell-based method to exploit arbitrary high-order schemes.In a numerical example, we compare results of the proposed methods with that of the analytic solution, and show that we can obtain accurate results with small number of grids per wavelength using the high-order cell-based methods.

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