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适用于有源区域电磁波时程精细积分仿真的大时间步长矩阵数值积分方法
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作者 迟明珺 马西奎 +1 位作者 马亮 朱晓杰 《电工技术学报》 EI CSCD 北大核心 2024年第21期6604-6613,6895,共11页
时程精细积分(PITD)法是一种全波电磁数值方法,具有相当宽松的数值稳定性条件,且数值色散误差几乎不受时间步长的影响,因而近年来在电磁学领域中受到广泛关注。在有源区域的电磁数值模拟中,PITD法需要计算激励源添加引入的非齐次项所产... 时程精细积分(PITD)法是一种全波电磁数值方法,具有相当宽松的数值稳定性条件,且数值色散误差几乎不受时间步长的影响,因而近年来在电磁学领域中受到广泛关注。在有源区域的电磁数值模拟中,PITD法需要计算激励源添加引入的非齐次项所产生的矩阵积分,其计算或存在矩阵求逆运算,易不稳定,或难以在大时间步长下保证计算结果的精度,这使得PITD法的推广应用受到一定限制。该文将响应矩阵法引入有源区域的电磁波PITD仿真中,不仅避免了矩阵的求逆运算,并且能够在保证计算结果精度的条件下,增大时间步长的选择范围,提高算法的计算效率。最后,进行了实例计算,并与直接近似积分方法和数值积分方法的结果进行了对比,验证了该文所提方法的实用性和有效性。 展开更多
关键词 电磁波数值模拟 矩阵积分 矩阵求逆问题 响应矩阵法
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Analysis and application of the response characteristics of DLL and LWD resistivity in horizontal well 被引量:9
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作者 胡松 李军 +1 位作者 郭洪波 王昌学 《Applied Geophysics》 SCIE CSCD 2017年第3期351-362,459,460,共14页
There exist different response characteristics in the resistivity measurements of dual laterolog (DLL) and logging while drilling (LWD) electromagnetic wave propagation logging in highly deviated and horizontal we... There exist different response characteristics in the resistivity measurements of dual laterolog (DLL) and logging while drilling (LWD) electromagnetic wave propagation logging in highly deviated and horizontal wells due to the difference in their measuring principles. In this study, we first use the integral equation method simulated the response characteristics of LWD resistivity and use the three dimensional finite element method (3D-FEM) simulated the response characteristics of DLL resistivity in horizontal wells, and then analyzed the response differences between the DLL and LWD resistivity. The comparative analysis indicated that the response differences may be caused by different factors such as differences in the angle of instrument inclination, anisotropy, formation interface, and mud intrusion. In the interface, the curves of the LWD resistivity become sharp with increases in the deviation while those of the DLL resistivity gradually become smooth. Both curves are affected by the anisotropy although the effect on DLL resistivity is lower than the LWD resistivity. These differences aid in providing a reasonable explanation in the horizontal well. However, this can also simultaneously lead to false results. At the end of the study, we explain the effects of the differences in the interpretation of the horizontal well based on the results and actual data analysis. 展开更多
关键词 response characteristic dual laterolog LWD resistivity horizontal well numerical modeling
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