A multi-layer reduced model for flow in porous media with a fault and surrounding damage zones

Abstract

In this work we present a new conceptual model to describe fluid flow in a porous media system in presence of a large fault. Geological faults are often modeled simply as interfaces in the rock matrix, but they are complex structure where the high strain core is surrounded by the so called damage zones, characterized by the presence of smaller fractures which enhance the permeability of the medium. To obtain reliable simulation outcomes these damage zone, as well as the fault, have to be accurately described. The new model proposed in this work considers both these two regions as lower dimensional and embedded in the rock matrix. The model is presented, analyzed, and tested in several configurations to prove its robustness and ability to capture many important features, such as hight contrast and heterogeneity of permeability.

Application of Multislice Spiral CT and Three-Dimensional Image Reconstruction Technology in the Observation of Ankle Sports Injury under the Microscope

“…The injury of soft tissue is usually manifested in the injury of the ligaments around the ankle joint. The ankle joint is composed of many bones, and the ligaments of the joint are complex, and the injury is often combined with surrounding ligament injury, and deltoid ligament injury is the most common complicating injury [ 22 ]. In the ankle joint, 15% of them injure the deltoid ligament.…”

A mixed‐dimensional model for direct current simulations in the presence of a thin high‐resistivity liner

“…Equations of Problem 1 also apply to $$$ \Lambda $$$ with different conductivity than surrounding $$$ \mathrm{Y} $$$. Therefore, as done for the electrode, we now propose a suitable reduced model where the liner is approximated with its central plane $$$ \lambda $$$, following the same approach as in References 33,36,37,42. First, we divide the boundary $$$ \mathrm{\partial \Lambda } $$$ of $$$ \Lambda $$$ into two parts: the lateral surface of thickness $$$ \varepsilon $$$, named $$$ {\partial}_l\Lambda $$$, and the bottom and top surfaces, identified as $$$ {\partial}_s\Lambda $$$.…”

A multi-layer reactive transport model for fractured porous media

“…To reduce the computational cost, we propose here a three layers model where also the reactive layers µ surrounding the fracture are represented as lower dimensional domains, of thickness µ , suitably coupled with the fracture on one side and the porous matrix on the other side. The derivation of such multi-layer model is similar to the one presented in [16,21,25,31,26], where its introduction was motivated by the modelling of faults and their surrounding damage zone.…”

“…Simultaneously, we will keep track of the corresponding precipitate concentration in the domain. The model is similar to the one proposed in [16,21,25,31,26] to model fault cores and their surrounding damage zones. It couples three lower dimensional domains among them and with the surrounding porous matrix by means of multi-dimensional conservation operators and suitable interface conditions.…”