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A New Method for De-Noising of Well Test Pressure Data Base on Legendre Approximation

Author

Listed:
  • Fengbo Zhang

    (Zhanjiang Branch of CNOOC Ltd., Zhanjiang 524000, China
    These authors contributed equally to this work.)

  • Yuandan Zheng

    (Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China
    These authors contributed equally to this work.)

  • Zhenyu Zhao

    (School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, China
    Southern Marine Science and Engineering Guangdong Laboratory (Zhanjiang), Zhanjiang 524088, China)

  • Zhi Li

    (Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China)

Abstract

In this paper, noise removing of the well test data is considered. We use the Legendre expansion to approximate well test data and a truncated strategy has been employed to reduce noise. The parameter of the truncation will be chosen by a discrepancy principle and a corresponding convergence result has been obtained. The theoretical analysis shows that a well numerical approximation can be obtained by the new method. Moreover, we can directly obtain the stable numerical derivatives of the pressure data in this method. Finally, we give some numerical tests to show the effectiveness of the method.

Suggested Citation

  • Fengbo Zhang & Yuandan Zheng & Zhenyu Zhao & Zhi Li, 2019. "A New Method for De-Noising of Well Test Pressure Data Base on Legendre Approximation," Mathematics, MDPI, vol. 7(10), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:989-:d:277956
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