Next Article in Journal
Continuous Orbit Equivalence on Self-Similar Graph Actions
Next Article in Special Issue
The Truncation Regularization Method for Identifying the Initial Value on Non-Homogeneous Time-Fractional Diffusion-Wave Equations
Previous Article in Journal
On the Generalization for Some Power-Exponential-Trigonometric Inequalities
Previous Article in Special Issue
Correction: Zhang, H.; Zhang, X. Generalized Tikhonov Method and Convergence Estimate for the Cauchy Problem of Modified Helmholtz Equation with Nonhomogeneous Dirichlet and Neumann Datum. Mathematics 2019, 7, 667
Open AccessArticle

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

by Fengbo Zhang 1,†, Yuandan Zheng 2,†, Zhenyu Zhao 3,4,* and Zhi Li 2
Zhanjiang Branch of CNOOC Ltd., Zhanjiang 524000, China
Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China
School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, China
Southern Marine Science and Engineering Guangdong Laboratory (Zhanjiang), Zhanjiang 524088, China
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2019, 7(10), 989;
Received: 14 September 2019 / Revised: 13 October 2019 / Accepted: 15 October 2019 / Published: 18 October 2019
(This article belongs to the Special Issue Numerical Analysis: Inverse Problems - Theory and Applications)
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. View Full-Text
Keywords: well test data; noise; filtering method; LEGENDRE approximation well test data; noise; filtering method; LEGENDRE approximation
Show Figures

Figure 1

MDPI and ACS Style

Zhang, F.; Zheng, Y.; Zhao, Z.; Li, Z. A New Method for De-Noising of Well Test Pressure Data Base on Legendre Approximation. Mathematics 2019, 7, 989.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop