... processes for either co- or countercurrent flow. However, in the case of complex three dimensional flow that combines both co- and counter-current components, such as that in gravity drainage processes, transport coefficients have more complex form and should be addressed through matrix formulation...

... it to be zero, so that it can be dropped out of the governing set of equations. It was only recently that experimental evidence was presented to show that this may not be so. The objective of this study is to include a non-zero ΔP 2 into the formulation of the problem, and to examine its implication on some...

... a satisfactory agreement between system response and model predictions is obtained. For many problems, such strategy is easier to implement than attempting to explicitly obtain various parameters because of the non-linear nature of mathematical formulation obtained in the model. Approaches suggested in the past...

... within this porous aquifer. The blocks have a lower conductively and a higher storage than the fracture continuum. horizontal fracture geometry upstream oil & gas formulation hydraulic fracturing analytical solution simulation fracture system fracture barker drillstem testing...

... such as hardening, softening, plastic volumetric expansion and contraction have been incorporated in the formulation. When implemented into the general purpose Finite Element program ABAQUS, numerical results compare reasonably well with measured response. In trying to weigh merits of the model, it is interesting...

... Abstract This paper presets a new mathematical formulation chat provides a realistic and appropriate representation of foam behaviour in a porous medium. Foams are gaining increasing importance in the petroleum industry in a number of roles, notably as mobility control and/or blocking agents...

... with complex chemical formulations has been developed to meet those specifications: linear and crosslinked polymeric fluids, energized fluids (foams), gelled acids .. Those fluids depart from newtonian descriptions, and have a history-dependent rheology (to take into account the effects of temperature...

... the injection of hydrocarbon solvent followed by chase gas. This led to a thorough evaluation of the formulation if the pressure equation and the treatment of nonlinearities such as solution gas-oil ratio (RSO) and formation volume factor (Bo) of BOAST which uses a conventional IMPES Method. This Method...

... Abstract In this work, current formulations used to calculate the heat losses and the pressure drop in steam injection wells are compared using a modular simulator which allows a great flexibility in the physical and mathematical modeling. For the fluid, this investigation focuses on the one...