Abstract

In this study, we solve the problem of developing a mathematical apparatus to determine the degree of correspondence of a diagnosed signal to a reference signal for acoustic logging tools before and after geophysical well surveys. The relevance of the study is associated with the increasing number of “defects” in geophysical well surveys due to untimely detection of a defect in the geophysical instrument. The main element of the mathematical apparatus is the correlation method based on the Cauchy–Bunyakovsky inequality. A formula is derived for the correlation coefficient, which makes it possible to determine the degree of correspondence of the diagnosed signal to the reference signal, and criteria are developed for evaluating the performance of acoustic logging instruments.

中文翻译：

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现场声波测井仪器性能的相关性控制与评价标准

摘要

在这项研究中，我们解决了开发一种数学仪器以确定在地球物理井勘之前和之后的声学测井工具的诊断信号与参考信号的对应程度的问题。由于未及时发现地球物理仪器中的缺陷，该研究的相关性与地球物理井勘中“缺陷”数量的增加有关。数学仪器的主要组成部分是基于柯西-布尼亚科夫斯基不等式的相关方法。导出了相关系数的公式，从而可以确定诊断信号与参考信号的对应程度，并开发了用于评估声波测井仪器性能的标准。