Initially, a numerical continuum-discrete approach for computing the sensitivity of the acoustic wave characteristics propagating within the modelled periodic composite structure is exhibited.
Different approaches exist, notably asymptotic methods (Dos Reis and Ganghoffer 2012; Forest et al. 2001; Ghosh et al. 1996), polynomial expansion (Forest 1998; Forest and Sab 1998) and numerical Cauchy-continuum to higher order continuum homogenization (Feyel 2003; Jänicke et al. 2009; Kouznetsova et al. 2004).
In this work, a new numerical triple-continuum model incorporating desorption and diffusion is proposed and applied for the production simulation in fractured shale gas reservoir.
By utilizing transverse isotropic elastic properties, the effect of bedding can be readily implemented in continuum numerical codes.
The information derived from these computational experiments, processed through traditional, continuum numerical methods is used to solve the macroscopic equations without ever deriving them in closed form.
In addition to the major benefits compared to conventional continuum numerical models of sedimentary rock, this software is able to simulate rock breakage and slip efficiently as well as separation along bedding planes (Guo et al. 2004).
The continuum numerical model is designed to account for the effects of in-depth heat and mass transfer, and chemical kinetics of the pyrolysis gas, which are missing from the existing surface ablation models.
The numerical formulation uses continuum mechanics to simulate the phenomenon of initiation and propagation of interlaminar damage with no need to formulate interface elements, resulting in a computationally less demanding formulation.
The pyrolysis gas composition and kinetic chemistry model are intended to be used to reduce the uncertainty associated with the continuum numerical model used to simulate transport and reaction of the pyrolysis gas through the char in the surface ablation process.
Although most agree that the 10 dimensions are necessary to understand the explanatory pragmatic continuum, numerical scales run the risk of dichotomously classifying the study and we did not provide a composite score for the study.
The numerical model includes continuum-type differential equations that describe the evolution of gas dynamics and multi-dimensional tracking of particle trajectories and temperature histories in the turbulent reacting flow field.
