... where the rock properties first change may be approximately determined. The effect of heterogeneities on the pressure-drop profile is demonstrated with analytical solutions and laboratory experiments. Using Eqs. 1 and 4 , we can write Eq. 3 as follows: 5 10 1983 1 7 1985 2 4...

.... This work addresses three aspects of estimating the BHP from AWS data: (1) estimation of the superficial gas velocity, (2) development of analytical solutions for a single-step BHP calculation, and (3) comparison and interpretation of the predicted BHP's by use of the three correlations for the field...

...Curtis O. Bennett; Rodolfo G. Camacho-V.; A. C. Reynolds; Rajagopal Raghavan New analytical solutions for the response at a well intercepting a layered reservoir are derived. The well is assumed to produce at a constant rate or a constant pressure. We examine reservoir systems without in-terlayer...

...M. F. N. Mohsen In the analytical solution of the Buckley-Leverett problem, Welge 1 recommends that to locate a front, one should draw a tangent to the fractional saturation curve from the origin. In this paper I establish that this procedure will be correct only for the case of a zero initial...

... analytical solution vessell fluid dynamics semilog plot inverse transform petroleum engineer journal reservoir characterization The pulse-decay technique of permeability measurement has been used by workers interested in radioactive waste storage 1 – 3 and low-permeability gas reservoirs. 4...

... and also applies in some other thermal recovery processes, such as in-situ combustion and steam-flooding. The mathematical formulas discussed involve the concept of a time-dependent overall heat-transfer coefficient. In the first portion of the paper, we discuss two new analytical solutions that describe...

..., including the shock front solution when F> 1. From the analytical results one can calculate the capillary effects on the performance of the model waterflood. This work, which for the first time presents an analytical solution for a linear waterflood that includes capillary effects, finds applications...

...Thierry Bourbie; Joel Walls A new analytical solution is presented for the laboratory pulse decay permeability problem. With this solution, permeability of a core sample can be calculated from the decay rate of a pressure pulse applied to one end of the sample. This development permits rapid...

... of the basic analytical solutions for transient rate decline have been available for some time. The first solutions were published by Moore et al. 1 and Hurst. 2 Results were presented in graphical form for bounded and unbounded reservoirs in which the flow was radial and the single-phase fluid...

...Allen F. Moench A linear closed-form analytical solution for the radial flow of steam toward a producing well in a vapor-dominated geothermal reservoir is compared with a finite difference solution to the nonlinear equations of fluid flow and energy change. Assumptions used in the development...

... distribution analytical solution Trans fracture straight line reservoir early time Uns~eady-~tate Pre~s~re Distributions Created by a Well WIth a SIngle InfInIte-Conductivity Vertical Fracture ALAIN C. GRINGARTEN* MEMBER SPE-AIME HENRY J. RAMEY, JR. R. RAGHAVAN" MEMBERS SPE-AIME INTRODUCTION During...

... assumptions, which are sometimes of questionable validity in rock. The typical nonlinearity of the stress/strain curve in rock has long been recognized but is usuals ignored. The stress/strain relationship can often be linearized as a first approximation, which vastly simplifies the analytical solution...

...: .....(2) SPEJ P. 315 1971. Society of Petroleum Engineers enhanced recovery Fluid Dynamics time step multiphase flow displacement difference form quantitative evaluation Reservoir Characterization Upstream Oil & Gas diffusivity miscible displacement analytical solution truncation...

... size. The procedure is extended to multidimensional systems. As a check, comparisons of the computed results with analytical solutions in one- and two-dimensional systems are made. The error-function solution in a one-dimensional miscible system and a five-spot fractional flow curve computed from...

... was generalized to include a composite annular region adjacent to the wellbore (a composite reservoir). The numerical solutions were compared with analytical solutions for cases with the usual steady-state skin effect. It was found that the solutions for a finite-capacity skin effect compared closely...

..., nonsteady-state results obtained by the finite element method are compared with those of typical boundary value problems for which rigorous analytical solutions are available. To demonstrate the power of this approach, solutions for the more complex problem of transient flow in layered systems...

... be considered fully satisfactory. Even for unit mobility ratio and piston-like displacement, where analytical solutions are available, the literature shows discrepancies. For non-unit mobility ratio, the divergence in the results is extreme. For infinite mobility ratio in a repeated five-spot, depending...

... agreed well with numerical results and with an analytical solution, which we derived for a circular heterogeneity in an infinite field. This study considers the flow-stream distortion due to the shape, size and level of heterogeneities. Size and level are much more important than shape provided...

... control Upstream Oil & Gas gas-cap pressure experiment numerical method dissolved-ga drive discontinuity complete pressure maintenance Trans differential equation analytical solution reservoir permeability production monitoring Fluid Dynamics calculation boundary condition saturation...