Showing papers on "Multiphase flow published in 1971"

A Streamline Model for Secondary Recovery

Abstract: A mathematical model particularly suitable for secondary recovery predictions is described. The model is based upon the flow lines generated by the superposition of line sources and sink solutions and is easily adaptable to arbitrary well patterns and fluid displacement mechanisms. Nonunity mobility ratios and reservoir stratification may be modeled. The model may be used with relatively small digital computing equipment. Previous models of this type have used the generated flow lines to outline flow bundles, thus requiring a prior knowledge of the geometric shape of each of these bundles so that the flow through each could be computed. The model described does not require any such prior knowledge of these flow lines to compute the volumetric flow along the lines. This feature makes it particularly adaptable to arbitrary well patterns. Examples are given to show the application of this model to both single and multiphase flow. (12 refs.)

Computer Analysis of Free Surface Well Flow

Abstract: A mathematical analog of immiscible multiphase well flow, considering three compressible fluids—two liquids and one gas—is solved with fully implicit finite differences. A Newton iteration scheme is utilized to solve the system of nonlinear difference equations. The method is applied to free surface gravity well flow, including the effect of partial penetration. The importance of capillarity, of air dissolved in water, of water compressibility, as well as the effect of the multiphase flow approach upon the shape of the “free surface,” are analyzed.

A Numerical and Experimental Study of Miscible or Immiscible Fluid Flow in Porous Media with Interphase Mass Transfer

Abstract: A recent paper presented last year described a general multicomponent simulator for 2-phase flow. This simulator took into account convection phenomena, diffusion and mass transfer between phases; and the main assumptions were (1) isothermal one-dimensional flow, (2) 2-phase flow (gas or liquid), (3) each phase may be represented by a mixture of 3 components or group of components. This simulator was improved in order to minimize the effects of numerical dispersion. In order to check the calculations, some experiments were performed under appropriate conditions for precise comparison between experiments and calculations. The fluids used were ternary mixtures of CD1U, nCD4U, and nCD10U, and the experiments were run under high pressure and temperature conditions. Some examples of numerical calculations are given, as compared with the same experiments on the slug drive case which is the most complex case and also the most widely used in practice. It is shown how the simulator points out the exact time of miscibility breakdown, and then how minimum slug size may be determined in practical cases. (11 refs.)