声波测井仪器的等效理论及其应用(英文)

在处理实际声波测井模式波数据或用模式波的反演地层参数时,必须考虑测井仪器对频散模式波传播的影响。本文介绍了一种用具有等效弹性模量的圆柱体来模拟声波测井仪器的等效理论,并将该理论推广应用到电缆、随钻多极子声波测井。在波长大于仪器半径的前提下,将井中的多极子声场与该等效仪器模型进行声导纳/阻抗匹配,便可导出这一理论。通过数值模拟和现场资料对该理论的有效性和实用性进行了验证,验证结果证明该理论既简单又足够精确。利用该理论模型处理实际资料时,通过调整仪器等效弹性模量和半径在给定频段标定仪器的影响,而不必考虑仪器的具体材料和结构。本文以电缆偶极子声波测井现场资料的频散校正为例,进一步证明了该等效理论处理现场资料的准确性和高效性。

An equivalent-tool theory for acoustic logging and applications

The influence of an acoustic logging tool on borehole guided wave propagation should be considered in the processing and inversion of the guided waves for formation acoustic property estimation. This study introduces an equivalent-tool theory that models the tool response using an elastic rod with an effective modulus and applies the theory to multipole acoustic logging for both wireline and logging while drilling (LWD) conditions. The theory can be derived by matching the tool’s acoustic impedance/conductance to that of the multipole acoustic wavefield around the tool, assuming that tool radius is small compared to wavelength. We have validated the effectiveness and accuracy of the theory using numerical modeling and its practicality using field data. In field data applications, one can calibrate the tool parameters by fitting the theoretical dispersion curve to field data without having to consider the actual tool’s structure and composition. We use a dispersion correction example to demonstrate an application of the simple theory to field data processing and the validity of the processing result.