Abstract In this work, we present a stability result for the inverse problem of recovering smooth scalar permeability parameter given by Brinkman’s law applied to steady Navier–Stokes equations from local observations fluid velocity on fixed domain. comparison with (Choulli et al 2013 Appl. Anal. 92 2127–43), prove logarithmic estimate under weaker assumptions, since our proof is based in strat...

We consider numerical identification of the piecewise constant permeability function in a nonlinear parabolic equation, with the augmented Lagrangian method. By studying this problem, we aim at also gaining some insight into the potential ability of the augmented Lagrangian method to handle permeability estimation within the full two-phase porous-media flow setting. The identification is formul...

We analyze the use of fast solvers as preconditioners for the discretized pressure equation arising in reservoir simulation. Under proper conditions on the permeability functions and the source term, we show that the number of iterations for the Conjugate Gradient method is bounded independently of both the lower bound of the permeability and the discretization parameter h. Such results are obt...

Effective multiphase flow and transport simulations are a critical tool for screening, selection, operation of geological CO2 storage sites. The relative permeability curve assumed these can introduce large source uncertainty. It significantly impacts forecasts all aspects the reservoir simulation, from trapping efficiency phase behavior to volumes oil, water, gas produced. Careful consideratio...

At present, with the continuous increase in development of ultra-low permeability reservoirs, fractures are prone to closure during initial fracturing operation, which will affect fracture conductivity a certain extent, and oil well production shows gradual decline trend, water content target is gradually increased. Therefore, order ensure better recovery rate depth reservoir, it necessary use ...

Abstract: Penetrative convection due to purely internal heating in a horizontal ferrofluid-saturated porous layer is examined by performing linear stability analysis. Four different types of heat supply functions are considered. The Darcy model is used to incorporate the effect of the porous medium. Numerical solutions are obtained by using the Chebyshev pseudospectral method, and the results a...

The scope of this paper is to design and simulate a novel circular split ring structure having simultaneous negative permittivity and permeability so called double negative metamaterial or left handed material. The DNG structure consists of five circular split ring resonators on one side of dielectric medium and a couple of circular wires on other side. The complex permittivity, permeability, i...

About 30% of drug candidate molecules are rejected due to pharmacokinetic-related failures. When poor pharmaceutical properties are discovered in development, the costs of bringing a potent but poorly absorbable molecule to a product stage by "formulation" can become very high. Fast and reliable in vitro prediction strategies are needed to filter out problematic molecules at the earliest stages...

In this work we will present new method, retrieved results and validation for complex and frequency dependent permittivity and permeability parameter extraction of two composite, homogeneous and isotropic magnetically loaded microwave absorbers (CR Eccosorb). Permittivity and permeability are extracted from free space transmission measurements for frequencies up to 140GHz. For the results valid...