含洞穴地层随钻电阻率测井响应自适应hp有限元数值模拟(英文)

含洞穴的碳酸盐岩地层具有强烈的非均质性及储集空间预测难度大的特点,利用随钻电阻率测井方法对井眼环境含洞穴的储层进行准确识别和划分,是当前研究的一个焦点问题。本文使用一种新型的高效和高精度自适应有限元方法(hp—FEM)模拟和分析了含洞穴地层随钻电阻率测井仪器响应。本文所提的hp-FEM与传统h-FEM相比,其结果具有网格自适应的特点,并且计算能够以指数速率收敛于较高的精度。数值实例使用自适应有限元方法研究地层中洞穴的大小、洞穴距离井眼的远近和仪器发射频率改变对测井响应的影响,并提供了识别含洞穴地层的方法。研究结果可以为实际测井中遇到的各种地层洞穴的准确识别和定量评价提供理论依据。

Numerical simulation of LWD resistivity response of carbonate formation using self-adaptive hp-FEM

Most of the carbonate formation are highly heterogeneous with cavities of different sizes, which makes the prediction of cavity-filled reservoir in carbonate rocks difficult. Large cavities in carbonate formations pose serious threat to drilling operations. Logging-whiledrilling (LWD) is currently used to accurately identify and evaluate cavities in reservoirs during drilling. In this study, we use the self-adaptive hp-FEM algorithm simulate and calculate the LWD resistivity responses of fracture-cavity reservoir cavities. Compared with the traditional h-FEM method, the self-adaptive hp-FEM algorithm has the characteristics of the self-adaptive mesh refinement and the calculations exponentially converge to highly accurate solutions. Using numerical simulations, we investigated the effect of the cavity size, distance between cavity and borehole, and transmitted frequency on the LWD resistivity response. Based on the results, a method for recognizing cavities is proposed. This research can provide the theoretical basis for the accurate identification and quantitative evaluation of various carbonate reservoirs with cavities encountered in practice.