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Frequency-Space Domain Simulation of Wave Propagation in Two-phase VTI Media Based on BISQ Model
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 76th EAGE Conference and Exhibition 2014, Jun 2014, Volume 2014, p.1 - 5
Abstract
Wave equations for the two-phase VTI media based on BISQ model include frequency-dependent coefficients, therefore, accurate numerical simulation based on such model should be performed in frequency domain. The results prove the implementation of such reasonable and accurate numerical method is achievable. We extend the method of 25 points finite-difference frequency-space domain simulation to the two-phase fluid-saturated VTI medium for the first time. Attenuation and dispersion of waves propagating in porous media are investigated based on BISQ model by comparison with those based on Biot model. We show that under the coupling action of Biot flow and squirt flow, velocity and amplitude of fast qP-wave propagating in two-phase VTI media are smaller than those in two-phase VTI media only under the action of Biot flow. Also, under the action of Biot flow and squirt flow, slow qP-wave is attenuated considerably so that it cannot be observed in the modelling results. But the velocity and amplitude of qS-wave have no obvious difference in the two circumstances. This may reveal that squirt flow has an important influence on the attenuation and dispersion of qP-wave but a smaller influence on qS-wave, which is consistent with the theoretical analysis based on BISQ model.