Theoretical Analysis of Pore Pressure Diffusion in Some Basic Rock Mechanics Experiments

A new convolution variational boundary element technique for design sensitivity analysis and topology optimization of anisotropic thermo-poroelastic structures

“…The displacement and pore pressure variations with the time are plotted in Figures 9 and 10 for the analytical, FEM and CVBEM methods to demonstrate the validity of our implemented technique. It is noticed from these figures that the results of the CVBEM are in very excellent agreement with those obtained using the analytical method of Braun et al (2018) and FEM of Giot et al (2018). Our results thus confirm that our technique is efficient and precise.…”

“…For these mentioned reasons, our proposed CVBEM is very effective, accurate and powerful technique. The accuracy, efficiency and validity of our proposed CVBEM technique were confirmed by comparing the obtained results of our considered problem with the corresponding analytical results of Braun et al (2018) and with the FEM results of Giot et al (2018), it can be noticed that the CVBEM results show excellent agreement with the analytical and numerical FEM results, our results thus confirm that the proposed CVBEM technique is very effective, accurate and powerful technique for anisotropic thermo-poroelastic optimization problems. Understanding the design sensitivity and optimization of anisotropic thermo-poroelastic structures are very important in many fields such as geothermal engineering, petroleum engineering, geomechanics engineering, geotechnical engineering, biomechanics engineering, material science and material engineering etc.…”

“…The proposed technique in the current work should be applicable to any anisotropic thermo-poroelastic problem. The models of Braun, Ghabezloo, Delage, Sulem, and Conil (2018) and Giot, Granet, Faivre, Massoussi, and Huang (2018) may be considered as special cases of our current complex and general study. To illustrate the numerical results calculated by the proposed technique presented in the current paper, the material considered as an anisotropic poroelastic material is a prismatic solid, and the physical parameters for this material are (Braun et al, 2018):…”

Pore pressure pulse migration in microcracked andesite recorded with fibre optic sensors

“…Brace et al, 1968;Brace, 1977Brace, , 1978 and that the effective stress law for the permeability is not straightforward [e.g. Ghabezloo et al, 2009;Braun et al, 2018]. This is due to the potential closure of pre-existing cracks [e.g.…”

“…In the laboratory, it has been shown that even in the elastic domain, the effective stress law for the permeability is not straightforward [e.g. Ghabezloo et al, 2009;Braun et al, 2018] but is of major importance for prediction of permeability evolution in stressed geo-materials [e.g. Shapiro et al, 1997Shapiro et al, , 2003.…”