S K Tomar
Articles written in Journal of Earth System Science
Volume 116 Issue 3 June 2007 pp 225-234
The propagation of elastic waves along a cylindrical borehole filled with/without liquid and embedded in an infinite porous medium saturated by two immiscible fluids has been studied. The theory of porous media saturated by two immiscible fluids developed by Tuncay and Corapcioglu (1997) is employed. Frequency equations determining the phase velocity of axial symmetric waves are obtained. It is found that the surface waves along cylindrical borehole are dispersive. The dispersion equation of Rayleigh-type surface waves along the boundary of a poroelastic solid half-space saturated by two immiscible fluids is also obtained. Some special cases have been deduced and the dispersion curves are obtained numerically for a peculiar model. It is found that the density of fluids affects the Rayleigh mode.
Volume 123 Issue 7 October 2014 pp 1729-1738
A concentrated load with step-function time behaviour is placed normal to the planar, pervious boundary of a porous elastic half space (PEHS) with compressible constituents. A planar fault exists in the PEHS in such a way that the poroelastic behaviour of the medium is unhindered. We derive an approximate but integral-free expression for CFSCPP, i.e., changes in fault stability due to changes in pore pressure, at a point not too far off the line along which the load acts. But, in the interest of simplicity, the main discussion is focussed on a consideration of CFSCPP at a point 𝑃 located on the fault at depth 𝑧 directly beneath the load. It is convenient to introduce dimensionless time $t_D$ directly proportional to real time 𝑡. The constant of proportionality is 4c/z^{2}, where 𝑐 is hydraulic diffusivity. The derived approximate expression gives results with an accuracy of greater than 99% for limited values of $t_D$ after the load is imposed. We learn from the derived expression that, for a given 𝑧, fault stability undergoes an initial sudden decrease commensurate with the undrained pore pressure induced in the PEHS. This is followed by a more gradual decrease in fault stability with increasing $t_D$ until a minimum is reached. The real time 𝑡 to minimum fault stability increases with 𝑧. The magnitude of CFSCPP decreases with 𝑧 as $z^{−2}$ for a given $t_D$ in the permissible range. The derived expression and the inferences based on it should be useful during earth science investigations of the possible hazards due to reactivation of a pre-existing shallow fault when a civil engineering project involving imposition of a heavy load on the earth’s surface is to be executed nearby. They should be useful also for investigations if a shallow earthquake occurs near such a project soon after its execution.
Volume 132, 2023
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