Optimization of Steam Drive Processes by Geometric Programming

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A simplified relationship expressing the recovery efficiency of a continuous steam drive process was derived using the prediction model of Willman et al. The equation obtained relates efficiency recovery as a function of five important process control parameters: project life, formation thickness, steam injection rate, injection pressure, and steam quality. A step-wise regression analysis procedure was employed to fit the data sample to a non-linear equation in terms of the five most relevant process variables. The equations obtained were successful in removing more than 95% of the original variance in the data. The standard error of estimate was less than O.(t% ( or 1.^77? of STOIIP), at a confidence level of 98%. Rock and fluid data from the Bradford (Pennsylvania, USA) and Tia Juena Fields (Western Venezuela), where steam drives have been or are being applied, were used to simulate the expected recovery of the process with the Willman method. The main difference between the data of these two reservoirs lies 011 the viscosity and density of the crude oil. The Bradford oil viscosity and density are 4-5 cps and 50? API at 72?F, whereas the Tia Juana is 1000-5000 cps and 13?API at 100?F.An objective function, in the sense of optimization, was derived for each reservoir. This equation relates the cumulative gross operating profit to the five most significant steamflood process variables. The operating profit was maximized within a feasible region specified by a set of constraints imposed on the variables by economic and field considerations. The optimization was performed with the so-called Geometric Programming Algorithm. The results obtained showed that both the Geometric Programming Algorithm and the method described can be used to determine the optimum operating policy for a steamflood project. Although the validity of this policy and the values of maximum gross profit are sensitive to the production performance model used, neither the optimization algorithm nor the optimization approach described here are limited to the use of the Willman et al performance model. Computer codes that could be used for any given field case are also included.


Type of resource text
Date created May 1974


Author Romero, Evanan
Primary advisor Brigham, William E.
Degree granting institution Stanford University, Department of Petroleum Engineering


Subject School of Earth Energy & Environmental Sciences
Genre Thesis

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Romero, Evanan. (1974). Optimization of Steam Drive Processes by Geometric Programming. Stanford Digital Repository. Available at: https://purl.stanford.edu/zr142bm8384


Master's Theses, Doerr School of Sustainability

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