Dynamic poroelasticity of thinly layered structures

✍ Scribed by S. Gelinsky; S.A. Shapiro; T. Müller; B. Gurevich

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 329 KB
• Volume: 35
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(98)00092-4

✦ Synopsis

Compressional seismic P!waves\ propagating in poroelastic\ ~uid saturated\ laminated sediments are strongly a}ected by the medium heterogeneity[ Here\ simple analytical expressions for the P!wave phase velocity and attenuation coe.cient are derived[ Both are functions of frequency and statistical medium parameters such as correlation lengths and variances[ The theoretical results are compared with results from numerical simulations and show good agreement[ In heterogeneous media\ impedance ~uctuations lead to poroelastic scattering ^variations of the layer compressibilities cause inter!layer ~ow "a 0!D macroscopic local ~ow#[ From the seismic frequency range "09Ð099 Hz# up to ultrasonic frequencies\ attenuation due to heterogeneity is strongly enhanced compared to homogeneous Biot models[ The new theory automatically includes di}erent asymptotic approxi! mations\ such as poroelastic Backus averaging in the quasi!static and the no!~ow limit\ geometrical optics\ and intermediate frequency ranges[