Viscous Seismic Numerical Simulation via Finite Difference Method
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The Finite Difference Method (FDM) is a numerical analysis technique for solving differential equations. This method discretizes the computational domain into small grid cells and approximates derivatives using difference equations. FDM is particularly suitable for computer implementation, making it essential in modern scientific computing. The algorithm typically involves discretizing the wave equation using staggered grids, applying boundary conditions (e.g. PML absorbing boundaries), and solving through time-stepping iterations. Key implementation considerations include stability conditions (CFL criterion), dispersion minimization, and handling of material discontinuities. FDM finds extensive applications in geophysics for seismic wave propagation modeling, as well as in physics, engineering, and economics.
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