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

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

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...

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Bibliographic Details
Main Authors: Fengbo Zhang, Yuandan Zheng, Zhenyu Zhao, Zhi Li
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Mathematics
Subjects:
well test data
noise
filtering method
legendre approximation
Online Access:https://www.mdpi.com/2227-7390/7/10/989
Description
Summary: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.
ISSN:2227-7390

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