The extraction of oil and gas from productive reservoirs complex geological structures is constantly increasing. Thus, it obvious that reliable mathematical models able to manage such porous media are particular interest. In this paper, a model filtration flow well located in an anisotropic heterogeneous soil formation, with piecewise-smooth external contour, numerically studied. permeability s...

in this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of hilbert $c^ast-$ modules and vice versa, then we consider tensor products of g-bessel multipliers, bessel multipliers and bessel fusion multipliers in hilbert $c^ast-$modules. moreover, we obtain so...

consider the following consistent sylvester tensor equation[mathscr{x}times_1 a +mathscr{x}times_2 b+mathscr{x}times_3 c=mathscr{d},]where the matrices $a,b, c$ and the tensor $mathscr{d}$ are given and $mathscr{x}$ is the unknown tensor. the current paper concerns with examining a simple and neat framework for accelerating the speed of convergence of the gradient-based iterative algorithm and ...

Abstract Hydraulic fracturing is the most efficient method to exploit valued geothermal energy trapped in low-permeable hard rock, e.g. granite. Most research on hydraulic has focused its application shale gas and oil. However, performs differently reservoir, as rock properties are quite different. In this work, an anisotropic damage–permeability model developed fundament of continuum theory st...

In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...

3D tomographic data at various scales is increasingly available through the wide adoption of CT (Micro Computed Tomography) and FIB-SEM (Focused Ion Beam Scanning Electron Microscopy) technologies. However, upscaling these observations is very challenging. This paper provides a template of an upscaling protocol between FIB-SEM data on a micron sized sample and CT data on the same sample regio...

Abstract. A numerical procedure for the evaluation of equivalent permeability tensor for fractured vuggy porous media is presented. At first we proposed a new conceptual model, i.e., discrete fracture-vug network model, to model the realistic fluid flow in fractured vuggy porous medium on fine scale. This new model consists of three systems: rock matrix system, fractures system, and vugs system...

A finite element (FE) model of blood perfused biological tissue has been developed. Blood perfusion is described by fluid flow through a series of 5 intercommunicating vascular compartments that are embedded in the tissue. Each compartment is characterized by a blood flow permeability tensor, blood volume fraction and vessel compliance. Local non-linear relationships between intra-extra vascula...

Comment about the " Newtonian limit of String-Dilaton Gravity " paper. The objective of this brief comment is to point out several problems associated with the general framework underpinning this paper[1]. For one, analyzing the static, spherically symmetric solution of scalar-tensor, vector-metric as well as string-dilaton theories one can find the following. When the energy-momentum tensor T=...

Consider the following consistent Sylvester tensor equation[mathscr{X}times_1 A +mathscr{X}times_2 B+mathscr{X}times_3 C=mathscr{D},]where the matrices $A,B, C$ and the tensor $mathscr{D}$ are given and $mathscr{X}$ is the unknown tensor. The current paper concerns with examining a simple and neat framework for accelerating the speed of convergence of the gradient-based iterative algorithm and ...