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Seismic wave propagation in biphasic viscoelastic TTI media Part I: theory | Geophysics

pubs.geoscienceworld.org

This study reveals how seismic waves behave in complex dual-fluid rock formations, pushing wave propagation theory into the messy, anisotropic real world of Earth's crust.

Biot's Poroelasticity TheoryWave Propagation TheoryViscoelasticityFinite-Difference Method

Theory Briefing

  • Seismic waves traveling through biphasic rocks split into distinct slow and fast modes — a direct consequence of Biot's poroelastic wave theory.
  • The study models tilted transverse isotropy (TTI), meaning rock layers aren't flat, forcing classical wave equations into more realistic but far harder geometries.
  • A high-order staggered grid finite-difference method solves the velocity-stress equations, bridging abstract viscoelastic theory with computable seismic simulations.