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出 处:《石油学报》2006年第5期88-91,共4页Acta Petrolei Sinica
基 金:国家自然科学基金资助项目(No.90210018)部分研究成果
摘 要:根据分层介质中波的传播规律,由均匀介质中的三维张量格林函数得到频率域中柱状分层介质的张量格林函数表达式,经过傅立叶变换,可以得到空间域的格林函数,它是一个关于波数的奇异积分。通过改造积分路径,利用广义函数束方法对频率域格林函数进行采样,用复指数项将积分核近似,实现了积分的快速准确求取。通过积分方程方法,对水井和油井间在径向上有4个分层的模型进行了计算,反演结果和原模型结果吻合很好。将水平层状介质和柱状分层介质进行耦合,有效地实现了正韵律性地层的二维井间电磁成像。The Green's tensor in frequency domain for cylindrical layered media was deduced from the 3-D Green dyadic for homogeneous media according to the propagation laws of waves in layered media, then the Green's tensor in spatial domain can be achieved with Fourier transformation, which is a singular integral of wave-number. The generalized-pencil-of-function (GPOF) method was used to approximate the spatial domain Green's function integrant. The frequency domain Green's functions are uniformly sampled along an integration path deformed from SIP (Sommerfeld integration path) and approximated by complex exponentials. A case of two vertical abnormal conductors embedded in a radially 4-layered media was calculated using the integral equation method. The inversion image well matches the original model. This method can also be used to perform 2-D crosshole electromagnetic imaging for layered media. With the coupling of Green's functions separated from horizontal and cylindrical layered medium, the crosshole electromagnetic imaging for positive rhythm reservoir was also well achieved.
关 键 词:油田开发 井间电磁成像技术 韵律性地层 柱状分层介质 格林函数 傅立叶变换
分 类 号:P631.325[天文地球—地质矿产勘探]
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