Gas convection transport in porous media plays a pivotal role in various engineering and natural systems, such as oil and gas reservoir behavior and carbon dioxide sequestration. In response, this paper presents a novel peridynamics model for pressure-driven gas convection transport in porous media. By peridynamics, we mean a non-local continuum mechanics theory that accounts for interactions within a finite distance, allowing for the modeling of discontinuities and complex material behavior without relying on classical spatial derivatives. The proposed peridynamics model intends to provide a comprehensive account for simulating gas convection in porous media by incorporating key factors such as the Klinkenberg effect, thermal-flow coupling, and heterogeneous materials. The effectiveness, accuracy, and versatility of the proposed peridynamics approach are demonstrated by numerical results from benchmark examples and complex simulation scenarios. The validity and reliability of this peridynamics model are confirmed under various conditions through convergence studies, sensitivity analyses, and comparisons with finite element method results. Conclusions drawn from the validation studies are that the proposed framework is capable of addressing practical issues such as the prediction of pore pressure in high-temperature concrete and that the proposed methodology is accurate, stable, convergent, and a promising alternative to traditional methods.

Communications in Computational Physics (CiCP) publishes original research and survey papers of high scientific value in computational modeling of physical problems. Results in multi-physics and multi-scale innovative computational methods and modeling in all physical sciences will be featured. CiCP is a refereed, interdisciplinary journal edited by a group of world-wide leading scientists in diverse fields to guarantee its highest standard. The journal is published in a timely fashion in printed and electronic forms.

A variable-order time-fractional Kelvin peridynamics model is proposed, where the variable order is utilized to reflect the changes of viscosity in viscoelastic materials to effectively capture the damage and deformation of rock steady creep. The corresponding constitutive model is established by coupling a spring and an Abel dashpot. Through the Caputo definition of fractional-order derivatives, finite increment formulations for the constitutive model are derived to facilitate numerical implementation by an explicit time integration scheme. We accordingly introduce a model parameter evaluation method for practical applications. To verify the validity and correctness of the model, constant-order time-fractional peridynamics is used to compare with the proposed model via a sandstone compress creep numerical test, and the results show that the latter can simulate nonlinear creep behavior more efficiently. Additionally, the numerical simulation of practical engineering is conducted. Compared with constant-order time-fractional peridynamics, the proposed model can improve the simulation accuracy by 16.7% with fewer model parameters.

Communications in Computational Physics (CiCP) publishes original research and survey papers of high scientific value in computational modeling of physical problems. Results in multi-physics and multi-scale innovative computational methods and modeling in all physical sciences will be featured.CiCP is a refereed international, interdisciplinary journal edited by a group of world-wide leading scientists in diverse fields to guarantee its highest standard. The journal is published in a timely fashion in printed and electronic forms.