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油水饱和岩石复电阻率频散特性数学模拟 被引量:1

Mathematical Modeling of Frequency Dispersion of Complex Resistivity in Oil-water Bearing Rock
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摘要 基于油水饱和储层电震耦合理论,利用傅里叶变换关系推导出电震波场的波动方程及电震快纵波P1波、电震慢纵波P2波和电震慢纵波P3波3个传播常数。依据双电极法测量岩石复电阻率的数学模型,对油水饱和岩石复电阻率的频散特性进行定量模拟。模拟结果表明,油水饱和岩石复电阻率的频散现象是在电震快纵波P1波、电震慢纵波P2波和电震慢纵波P3波的共同作用下,由岩石中的电渗流机制形成的。油水饱和岩石的复电阻率和慢纵波P2波界面极化频率均随孔隙度和含水饱和度的增大而减小,随渗透率的增大而增大,慢纵波P3波界面极化频率随孔隙度的增大而减小,随渗透率和含水饱和度的增大而增大,而快纵波P1波界面极化频率受储层岩石这3个参数的影响较小。气水饱和岩石复电阻率的频散特性与油水饱和岩石复电阻率的频散特性略有不同,但二者的复电阻率随3个参数的变化规律相同。 Based on the electroseismic theory of oil-water bearing reservoir,the electroseismic wave equation and three propagation constants of the electroseismic fast-P1-wave,the electroseismic slow-P2-wave and the electroseismic slow-P3-wave were derived by using Fourier transform relation.And then,according to the mathematical model of complex resistivity of rock measured by the two-electrod method,we quantitatively simulated the frequency dispersion characteristics of complex resistivity in oil-water bearing rock.Simulation results show that,the frequency scattering of complex resistivity in oil-water bearig rock is formed by the electroosmotic mechanism of rock under the combined action of the electroseismic fast-P1-wave,the electroseismic slow-P2-wave and the electroseismic slow-P3-wave.The complex resistivity's value and the interfacial polarization frequency of slow-P2-wave both increase with the decreasing porosity,the increasing permeability and the decreasing water saturation. The interfacial polarization frequency of slow-P3-wave increases with the decreasing porosity,the increasing permeability and the increasing water saturation.While the interfacial polarization frequency of fast-P1-wave is less affected by the three parameters of reservoir rocks.The frequency dispersion characteristics of complex resistivity in gas-water bearig rock and in oil-water bearig rock are slightly different,while they have the same changing regulation with the three parameters.
出处 《测井技术》 CAS CSCD 2016年第4期413-420,共8页 Well Logging Technology
基金 国家自然科学基金(41174101)资助
关键词 测井方法 含油储层 电震效应 双电极法 复电阻率 频散特性 logging methodology oil-bearing reservoir electroseismic effect two-electrod method complex resistivity frequency dispersion characteristics
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