| 非均匀多孔介质渗透率尺度跃迁的Green函数方法 |
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| 引用本文： | 王子亭. 非均匀多孔介质渗透率尺度跃迁的Green函数方法[J]. 中国石油大学学报(自然科学版), 1999, 23(4) |
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| 作者姓名： | 王子亭 |
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| 作者单位： | 石油大学应用数学系,山东东营257062 |
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| 摘 要： | 应用Ｇｒｅｅｎ函数方法研究了非均质多孔介质的尺度跃迁，对大尺度上的等效渗透率给出了级数形式的表达式。对于服从对数正态分布的渗透率分布，应用随机场理论和级数部分求和技术研究了渗透率的尺度跃迁，得到了等效渗透率的表达公式，其表达式包含了局部关联上的所有信息。对于三维无限区域上的等效渗透率给出了简单的估计，研究了这种方法在复杂情况下的推广应用问题
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| 关 键 词： | 石油开发；油藏；渗透率；非均质；多孔介质；对数正态分布；Green函数 |
GREEN'S FUNCTION FOR EXPRESSING SCALING-UP OF PERMEABILITY OF HETEROGENEOUS POROUS MEDIUM |
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| Wang Ziting. GREEN'S FUNCTION FOR EXPRESSING SCALING-UP OF PERMEABILITY OF HETEROGENEOUS POROUS MEDIUM[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1999, 23(4) |
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| Authors: | Wang Ziting |
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| Affiliation: | Dongying:257062 |
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| Abstract: | Scaling|up of permeability in an heterogeneous porous medium is studied by using a formalism of Green's function. A formal expression for effective permeability of medium is given in the form of a series expansion. The case of a log|normal distributed medium of infinite extent is studied by using the random field|theoretical method and partial series resummation technique, and a formula up to all orders in local correlation is derived. For the effective permeability of medium in three|dimension space, a simple estimation is demonstrated. The method can be systematically improved when more complex situations are studied.= |
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| Keywords: | petroleum exploitation reservoir permeability heterogeneity porous media log|normal distribution Green's function= |
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