Abstract
By use of the theory of poroelasticity, the analytical solutions were obtained for mechanical responses of a water-saturated core sample subjected to opposite diametrical loadings that vary like a step function of time (Problem I) and a linearly increasing function of time (Problem II). These loadings correspond to elastic moduli tests (by Hondros) and indirect tensile strength tests (the Brazilian tests) of dry brittle materials, respectively. The analysis showed how the diffusion of pore fluid affects these tests, if the tests are carried out for fluid-saturated samples. Furthermore, the accuracy of the Stehfest numerical Laplace inversion was checked based on the analysis. In addition, a method of determining poroelastic moduli was proposed.
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