부산대학교 도서관

In this work a numerical technique in order to simulate one dimensional hot water injection has been proposed. In total four equations are introduced in order to model hot water injection; the Buckley- Leverett equation, two mass balance equations for water and oil phases and an energy balance equation, all of which are highly non-linear. The objective of the mathematical model is to solve these equations under the appropriate initial and boundary conditions. This solution provides space and time distributions of water and oil pressures, saturations and temperature. One of the major difficulties with numerical modeling of this process is the dependence of the fluid properties on the pressure and temperature. In this technique, the Buckley-Leverett equation is used to calculate oil and water saturation distributions which is a nonlinear hyperbolic equation. The results of the saturations are used in the mass balance equation, which is a nonlinear equation since its coefficients depend on temperature and pressure. A fully implicit central scheme is used in order to discretize the equation and then the Newton-Raphson method is used to solve this nonlinear system in order to find the pressure distribution. Finally, the pressure results are used in the nonlinear energy equation to obtain the temperature profile. Since all these equations are nonlinear and depend on each other, the energy equation needs to be coupled with material balance equations. [ABSTRACT FROM AUTHOR]