...-elliptical surface crack propagation pof expression reliability analysis distribution function reliability crack depth analysis model PETROLEUM SOCIETY PAPER 2008-076 Reliability Analysis of Pressure Vessels Containing Cracks J. XU, M. FORCINITO, P. ALVES AP Dynamics Inc. This paper is accepted...

... boundaries. The method results from the incorporation of approximate analytical expressions for the pressure into the reservoir simulator's finite difference equations. By incorporating the "physics" of the flow into the solution, rather than relying on polynomial-based finite difference equations based...

... in the crevice and develop a detailed net analysis of the various existing forces. Most of previous works related spontaneous bubble formations which occur after a rapid decompression of a liquid solution initially saturated with dissolved gas molecules. expression enhanced recovery availability...

... to Fick's law, a material balance across a differential distance dx in this situation can be expressed as a continuity equation for the change of concentration (volume fraction is chosen), C , with time, t, by using the diffusion coefficient, D : Equation (1) (Available in full paper) If the draining...

... in the heterogeneous medium is then analyzed and field-scale expressions are obtained for the coefficients in reaction rate, effective flow velocity and longitudinal macrodispersivity. The heterogeneity is shown to influence flow, macrodispersion and reaction in porous medium. Furthermore, its presence develops inter...

... et al. 2 who proposed that finite-difference equations, used to represent the pressure equation, be based on mathematical expressions that incorporate the physics of the process instead of on traditional polynomial expressions. In modeling the reservoir pressures, equations incorporating...

... Abstract Finite difference approximations to partial derivatives are generally based on Taylor series, which are polynomial expressions for the unknown variable as a function of the grid locations. In many problems, approximate analytical solutions are known that incorporate the physics...

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... viscosity expression reference compound molecular weight compound corresponding state principle viscosity data viscosity fluid modeling corresponding state model correlation average molecular weight oil viscosity oil system viscosity model upstream oil & gas reference component methane...

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