Abstract

Abstract 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.

Highlights

  • Noise logging can measure the natural noise of the wellbore and the area nearby the well

  • This article uses the data measured by the NTO009-noise logging tool produced by Sondex, and combines the cubic spline interpolation algorithm to process the noise data

  • Noise data is a two-dimensional data with 128 channels of spectral channels, measured by Sondex’s NTO009 noise logging tool

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Summary

Introduction

Noise logging can measure the natural noise of the wellbore and the area nearby the well. According to noise logging, the gas production zone and fluid absorption zone can be divided into open hole wells. In the actual production of oil and gas wells, due to the long-term fracturing, acidification and perforation of the oil and water wells, the casing and tubing of the oil and water wells have been damaged, and the ‘blow-by’. Hao et al Applied Mathematics and Nonlinear Sciences 6(2021) 93–102 situation in the oil and water wells increases. Noise logging can be used to find leaks and channelling of oil and casing pipes under normal production of oil and water wells. Various oil fields use noise logging in the actual production process. This article uses the data measured by the NTO009-noise logging tool produced by Sondex, and combines the cubic spline interpolation algorithm to process the noise data. The noise data can well reflect the downhole situation

Principle of noise logging
Noise data
Principles of cubic spine interpolation
Cubic spline interpolation function
Algorithm of cubic spline interpolation
Noise data processing and interpretation
Noise data logging interpretation
Conclusion
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