Wave Simulation in Frozen Porous Media

✍ Scribed by José M. Carcione; Géza Seriani

• Book ID: 102588157
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 283 KB
• Volume: 170
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.2001.6756

✦ Synopsis

We propose a numerical algorithm for simulation of wave propagation in frozen porous media, where the pore space is filled with ice and water. The model, based on a Biot-type three-phase theory, predicts three compressional waves and two shear waves and models the attenuation level observed in rocks. Attenuation is modeled with exponential relaxation functions which allow a differential formulation based on memory variables. The wavefield is obtained using a grid method based on the Fourier differential operator and a Runge-Kutta time-integration algorithm. Since the presence of slow quasistatic modes makes the differential equations stiff, a timesplitting integration algorithm is used to solve the stiff part analytically. The modeling is second-order accurate in the time discretization and has spectral accuracy in the calculation of the spatial derivatives.