Applied Mathematics and Nonlinear Sciences (Mar 2021)

Data processing method of noise logging based on cubic spline interpolation

  • Hao Wu,
  • Rui Deng,
  • Song Linghu,
  • Ruixiang Yang,
  • Jinhai Zhang,
  • Juan Cao

DOI
https://doi.org/10.2478/amns.2021.1.00014
Journal volume & issue
Vol. 6, no. 1
pp. 93 – 102

Abstract

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Noise logging is a method to determine the natural noise in a well. In the actual production logging process, it is a common situation that the noise data is not continuous with depth, which can be solved by the cubic spline interpolation method. This method is a piecewise interpolation method, which fits with a three-time polynomial in each segment interval, and adds up the polynomials on all intervals to get the interpolation formula. The interpolated data points are a smooth transition with good stability. In this article, the original noise data is interpolated to continuous noise data by cubic spline interpolation method, and then evaluated by noise imaging logging, which presents good results. The cubic-spline interpolation method ensures the internal connection of noise data, and also realizes the fine description and recognition of the characteristics of the output layer. This method will provide a low-cost and effective logging evaluation method for production logging, which has a wide range of applications.

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