The Influence of Permeability on the Propagation Characteristics of the Waves in Different Saturated Soils
Source abstract
Abstract
The permeability of saturated soils has great influence on the velocities and attenuation characteristics of fast compressional wave P1, low compressional wave P2, and shear wave S in saturated soils, respectively. In three different cases, namely zero, finite, and infinite permeability, the wave equations and theoretical velocities of P1, P2, and S wave in saturated soils are given based on the u-w-p equation, respectively. According to the solutions of the wave equations, the real velocities and attenuation coefficients of three waves are redefined, respectively. In different saturated soils, the influences of the permeability and the loading frequency on the wave velocities and attenuation are discussed, respectively. Moreover, the suitable application scope of the u-p equation is discussed based on different permeabilities and loading frequencies.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Geotechnical Engineering and Underground Structures · Geotechnical Engineering and Soil Mechanics · Seismic Waves and Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
College of Civil Engineering, North China University of Technology, Beijing 100144, China
The Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China
Funding
National Natural Science Foundation of China · Natural Science Foundation of Beijing, China
References (37)
Show source-provided references
1. Propagation des ondes acoustiques dans les milieux poreux saturés10.2516/ogst:1984004 ↗
2. DOE Geophysical Monitoring Working Group. Advanced noninvasive geophysical monitoring techniques10.1146/annurev.earth.35.092006.145050 ↗
3. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range10.1121/1.1908239 ↗
4. Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range10.1121/1.1908241 ↗
5. Propagation of waves in a fluid-saturated porous elastic solid10.1016/0020-7225(79)90022-3 ↗
6. Dynamic behaviour of a porous medium saturated by a Newtonian fluid10.1016/0020-7225(80)90025-7 ↗
7. Nonlinear transient phenomena in saturated porous media10.1016/0045-7825(82)90052-4 ↗
8. Dynamic behaviour of saturated porous media; the generalized Biot formulation and its numerical solution10.1002/nag.1610080106 ↗
9. Drained, undrained, consolidating and dynamic behaviour assumptions in soils10.1680/geot.1980.30.4.385 ↗
10. Basic formulation of static and dynamic behaviours of soil and other porous media10.1007/BF01908222 ↗
11. An analytical solution for the transient response of saturated linear elastic porous media10.1002/nag.1610190603 ↗
12. Influence of viscous coupling in propagation of elastic waves in saturated soil10.1061/(ASCE)0733-9410(1995)121:9(636) ↗
13. Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies10.1063/1.91445 ↗
14. Importance of interface hydraulic condition on the generation of second bulk compressional wave in porous media10.1063/1.99282 ↗
15. Slow wave propagation in air-filled porous materials and natural rocks10.1063/1.102872 ↗
16. Confirmation of Biot’s theory10.1063/1.91951 ↗
17. Kafaji, I.K.A. (2013). Formulation of a Dynamic Material Point Method (MPM) for Geomechanical Problems. [Ph.D. Thesis, University of Stuttgart, Institut for Geotechnical Engineering].
18. Propagation of waves in porous media10.1016/S1873-975X(96)80007-2 ↗
19. Seismic wave attenuation in fluid-saturated porous media10.1007/978-3-0348-7722-0_21 ↗
20. Acoustic multipole logging in transversely isotropic poroelastic formations10.1121/1.398448 ↗
21. Wave propagation in anisotropic liquid-saturated porous solids10.1121/1.402295 ↗
22. Propagation characteristics of elastic wave in saturated frozen soil
23. One-dimensional transient wave propagation in fluid-saturated incompressible porous media10.1007/BF00787910 ↗
24. Dispersion and attenuation of surface waves in a fluid-saturated porous medium10.1023/A:1006590119031 ↗
25. Symmetric wave propagation in a fluid-saturated incompressible porous medium10.1016/j.jsv.2004.08.046 ↗
26. Surface wave propagation in a fluid-saturated incompressible porous medium10.1007/s12046-007-0014-x ↗
27. Theoretical analysis of observed second bulk compressional wave in a fluid-saturated porous solid at ultrasonic frequencies10.1063/1.91851 ↗
28. Compressional wave velocity and its physical nature in saturated soils with extreme permeability values
29. Analysis of wave propagation in saturated porous media. I. Theoretical solution10.1016/S0045-7825(02)00339-0 ↗
30. Analysis of wave propagation in saturated porous media. II. Parametric studies10.1016/S0045-7825(02)00335-3 ↗
31. Characteristics of propagation of elastic waves in saturated soil
32. Steeb, H., Kurzeja, P.S., Frehner, M., and Schmalholz, S.M. (2012). Phase velocity dispersion and attenuation of seismic waves due to trapped fluids in residual saturated porous media. Vadose Zone J., 11.10.2136/vzj2011.0121 ↗
33. Numerical and analytical investigation of compressional wave propagation in saturated soils10.1016/j.compgeo.2016.01.019 ↗
34. Dynamic response of a multilayered poroelastic half-space to harmonic surface tractions10.1007/s11242-013-0182-6 ↗
35. Visco-elastic transmitting boundary for numerical analysis of infinite saturated soil foundation
36. Liao, Z.P. (2002). Introduction to Wave Motion Theories in Engineering, Science Press.
37. Axisymmetric time-domain transmitting boundaries10.1061/(ASCE)0733-9399(1994)120:1(25) ↗