LAPLACE TRANSFORM DECONVOLUTION AND ITS APPLICATION TO WELL TEST DATA ANALYSIS

Olabode, O.A. and Sangotade, I. M. and Afolabi, A.O. and Egeonu, G. I. (2019) LAPLACE TRANSFORM DECONVOLUTION AND ITS APPLICATION TO WELL TEST DATA ANALYSIS. International Journal of Mechanical Engineering and Technology, 10 (02). pp. 289-301. ISSN 0976-6340 and ISSN Online: 0976-6359

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Abstract

The primary objective of this project is to extend the conveniences of deconvolution to non-linear problems of fluid flow in porous media. Unlike conventional approaches, which are based on an approximate linearization of the problem, here the solution of the non-linear problem is linearized by a perturbation approach, which permits term-by-term application of deconvolution. Because the proposed perturbation solution is more conveniently evaluated in the Laplacetransform domain and the standard deconvolution algorithms are in the time-domain, an efficient deconvolution procedure in the Laplace domain is a prerequisite. For this research objective, a new algorithm is introduced which uses inverse mirroring at the points of discontinuity and adaptive cubic splines to approximate rate or pressure versus time data. This algorithm accurately transforms sampled data into Laplace space and eliminates the Numerical inversion instabilities at discontinuities or boundary points commonly encountered with the piece-wise linear approximations of the data. Applying the algorithm to the field data obtained from published works, we can unveil the early-time behavior of a reservoir system masked by wellbore-storage effects. The wellbore-storage coefficient can be variable in the general case. The new method thus provides a powerful tool to improve pressure-transient-test interpretation. Practical use of the algorithm presented in this research has applications in a variety of Pressure Transient Analysis (PTA) and Rate Transient Analysis (RTA) problems. A renewed interest in this procedure is inspired from the need to evaluate production performances of wells in unconventional reservoirs. With this approach, we could significantly reduce the complicating effects of rate variations or shut-ins encountered in well-performance data

Item Type:	Article
Uncontrolled Keywords:	Deconvolution, Well Testing, Sand Face, Pressure, Laplace transformation, well bore storage, cubic splines.
Subjects:	T Technology > TP Chemical technology
Divisions:	Faculty of Engineering, Science and Mathematics > School of Engineering Sciences
Depositing User:	nwokealisi
Date Deposited:	07 Feb 2025 10:02
Last Modified:	07 Feb 2025 10:02
URI:	http://eprints.covenantuniversity.edu.ng/id/eprint/18771

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