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Homogenization techniques are used to derive a double porosity model for single phase flow in a reservoir with a preferred direction of fracture. The equations in the microscopic model are the usual ones derived from Darcy’s law in the fractures and matrix (rock). The permeability coefficients over the matrix domain are scaled, using a parameter ε, based on the fracture direction in the reservo...

Background: There is fine correlation between the infertility and lessening of endometrial thickness. In this study the effects of sedative naloxone, and L-arginine, the precursor of nitric oxide (NO), on endometrial thickness of rat uterus was examined. Materials and Methods: Wistar rats (weighing 200-250 g) in Diestrous phase received intra-peritoneal (i.p.) 1. single L-arginine (50 mg/kg), 2...

This work presents the coupling of two locally conservative methods for elliptic problems: namely, the discontinuous Galerkin method and the mixed finite element method. The couplings can be defined with or without interface Lagrange multipliers. The formulations are shown to be equivalent. Optimal error estimates are given; penalty terms may or may not be included. In addition, the analysis fo...

Over the past few years, more and more systems and control concepts have been applied in reservoir engineering, such as optimal control, Kalman filtering, and model reduction. The success of these applications is determined by the controllability, observability, and identifiability properties of the reservoir at hand. The first contribution of this paper is to analyze and interpret the controll...

The topic of single phase liquid flow in submicron or nanochannels is a nascent field. There have only been a couple papers that have dealt with this area directly. The most probable reason for this is that currently most research in fluid mechanics or heat transfer is being focused on micron size channels. To help facilitate researchers to focus on this undeveloped area, this paper serves as a...

We develop a new dimension reduction method for large size ODE systems obtained from a discretization of partial differential equations of viscous single and multiphase fluid flow. The method is also applicable to other large size classical particle systems with negligibly small variations of particle concentration. We propose a new computational closure for mesoscale balance equations based on...

One of the challenging problems in the Oil & Gas industry is accurate and reliable multiphase flow rate measurement in a three-phase flow. Application of methods with minimized uncertainty is required in the industry. Previous developed correlations for two-phase flow are complex and not capable of three-phase flow. Hence phase behavior identification in different conditions to designing and mo...