Three-dimensional flow driven pore-crack networks in porous composites: Boltzmann Lattice method and hybrid hypersingular integrals

This study introduces a hybrid hypersingular integral equation-Lattice Boltzmann method (HHIE-LBM) for analyzing extended 3D flow driven pore-crack networks problem in various porosity composites. First, the extended hybrid electronic–ionic, thermal, magnetic, electric and force coupled fields’ pressure and velocity boundary conditions for HHIE-LBM model are established, and the closed form solutions of extended distribution functions are given. Second, an extended 3D flow driven pore-crack networks problem in various porosity composites is translated into a coupled of HHIE-LBM equations, and the pore-crack networks propagation parameters are analyzed. Third, the extended dynamic stress intensity factors (EDSIFs) are calculated by using the parallel numerical technology and the visualization results are presented. Last, the relationship between the EDSIFs and the differential porosity is discussed, and several rules have been found, which can be utilized to understand the extended fluid flow mechanism in various porosity composites and analyze the extended fluid flow varying mechanism on coseismal slip.