| 用有限差分法计算各向异性介质中多分量感应测井的响应 |
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| 引用本文： | 沈金松.用有限差分法计算各向异性介质中多分量感应测井的响应[J].地球物理学进展,2004,19(1):101-107. |
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| 作者姓名： | 沈金松 |
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| 作者单位： | 石油大学,盆地与油藏研究中心,北京,102249 |
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| 基金项目： | 国家自然科学基金项目(4967423)资助. |
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| 摘 要： | 感应测井电阻率是砂泥岩储层中定量评价含油气性的主要参数之一，然而由于储层电各向异性的存在，传统的感应测井仪得到的电阻率主要响应地层的水平电阻率，比地层的垂直电阻率小，由此计算的含水饱和度偏高．多分量感应测井则可以通过不同方向的发射和接收，测量多个分量，弥补上述缺陷，为储层的含油气性评价提供准确信息．本文用交错网格有限差分法导出了主轴各向异性介质中Maxwell方程的离散化关系式，计算了三维各向异性介质中多分量感应测井的电磁响应．利用三层模型的数值模拟，分析了不同磁场分量对各向异性介质的响应特性，用多层模型和倾斜各向异性地层的响应计算检验了所编制的交错网格有限差分法程序．
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| 关 键 词： | 交错网格有限差分 电各向异性 多分量感应测井 |
| 文章编号： | 1004-2903(2004)01-0101-07 |
| 修稿时间： | 2003年5月1日 |
Modeling of the multi-component induction log in anisotropic medium by using finite difference method |
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| SHEN Jin-song.Modeling of the multi-component induction log in anisotropic medium by using finite difference method[J].Progress in Geophysics,2004,19(1):101-107. |
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| Authors: | SHEN Jin-song |
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| Abstract: | The electromagnetic induction resistivity is one of the important parameters in evaluating the water and hydrocarbon saturations in shaly sand formation, however the electric anisotropy exists in formation causes the conventional induction log only responses to the horizontal resistivity of the anisotropic medium, which is less than the vertical resistivity, that causes the evaluated water saturation high. However, the multi-component induction log can solve this problem by using three different transmitting and measuring combinations, and can provide much more information benefits for the hydrocarbon evaluation. In this paper, the discretized formulation of the Maxwell equation in 3-D principal anisotropic formation was derived by using the staggered-grid finite difference method and it was used to simulate the multi-component induction log responses to the 3-D subsurface anisotropic formation. Three-layer anisotropic model was used to analyse the effects of the electric anisotropy on different components of a specific transmitting direction, the validity of the staggered finite difference code was checked by multi-layer anisotropic formation and deviated borehole model. |
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| Keywords: | staggered-grid finite difference method electric anisotropy multi-component induction log |
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