A transversely isotropic thermo-poroelastic model for claystone: parameter identification and application to a 3D underground structure

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):…”

Thermo-Poromechanical Properties of Pierre II Shale

“…The non-zero components of the compressibility tensor are reduced to c 11 , c 22 , c 33 , c 12 , c 13 , c 23 , c 44 , c 55 and c 66 (Jaeger et al 2007;Fjaer et al 2008). The non-zero Biot's coefficients and thermal expansion coefficients are b ii and ii , respectively (Giot et al, 2018). The following stress-strain relation is obtained under thermo-poroelastic consideration, which is a kind of extended Hooke's law.…”

“…Since many rocks such as claystone and shale are anisotropic, the full evaluation of their thermo-poroelastic parameters should be done within the framework of anisotropy. Giot et al (2018) derived a transversely isotropic thermo-poroelastic model for claystone, in which the thermal expansion coefficients were described as a function of anisotropic poroelastic parameters. A good match was found between the analytical solution and the numerical simulation for an inclined well.…”