Application of response surface method and BFGS algorithm in well test analysis

doi:10.3969/j.issn.0253-2778.2018.05.009

Abstract

Abstract: Well test analysis is a typical inverse problem that analyzes the formation and wellbore parameters using the time-varying data of the bottom hole pressure measured during shut-in. Based on the response surface method， a new method for automatically evaluating parameters was presented to solve the numerical well test interpretation. Select the uncertain parameters and their scope， the experimental examples were determined， and then the polynomial approximation function was obtained by matching method， that is， constructing the response surface model. Using the response surface model， the objective function of the deviation between the calculated value and the actual observation value was constructed. The minimum value of the objective function was obtained by using the BFGS algorithm and the Latin hypercube sampling to obtain the uncertain parameter value. The numerical examples show that the method can effectively match the bottom hole pressure and the pressure derivative， and thus has a good potential for application.

Key words: well test analysis, response surface method, objective function, BFGS algorithm, Latin hypercube sampling

CLC Number:

TE312

LI Daolun, CHEN Gang, ZHA Wenshu, XU Enhua. Application of response surface method and BFGS algorithm in well test analysis[J]. Journal of University of Science and Technology of China, 2018, 48(5): 400-408.

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