频域激发极化法中体极化与面极化内在联系的探讨

THE STUDY OF INTRINSIC RELATIONSHIP BETWEEN SURFACE POLARIZATION AND VOLUME POLARIZA-TION IN THE FREQUENCY-DOMAIN IP METHOD

矿化的体极化介质,其激发极化效应来自其中所含电子导电矿物颗粒的表面极化效应。基于上述认识,本文从理论上推导出含球状电子导体的体极化介质复电阻率的“微观”数学表达式。将它与体极化介质复电阻率的“宏观”表达式——Cole-Cole模型相比较,得出了:1.Cole-Cole模型中的特征参量与球状电子导体的表面极化系数、含量以及导体半径等的综合关系式;2.电子导体表面极化系数在频域中的一般表达式。这表达式同目前在实验室中观测到的结果是一致的。

The writer of this paper attributes the complex resistivity of volume polarization (V. P.) to the surface polarization (S. P.) effect of minerals of electronic conduc-tion in the medium. Through calculations with the mathematical model, σi'(jω) =σi{p/[p+λ(jω)/a]} , of equivalent complex resistivity of S. P. effect of homogeneouslyconducting sphere and the Cole-Cole model of complex resistivity of V. P, medium,the common fomula - S. P. coefficient of electronic conductor. λ (jω) = λ0/[1+(jωτs)cs ,is obtained theoretically, which coincides well with the results observed by Fu Liang-kui and other on copper and graphite samples.The writer, from V. P. linear medium made up of electronic conducting spheres which are equal in radii and spread homogeneously in ionic conductor (i.e. electrolyte), derives the 'microscopic' expression of complex resistivity of V. P. medium. Comparing it with Cole-Cole model - the 'macroscopic' expression of its complex resistivity, a mathematical relation is obtained between the characteristic parameters of complex resistivity ρ(jω) of V. P. medium and those of S. P. coefficient λ(jω) of electronic conducting spheres in V. P. medium, thus clarifying the intrinsic relations between volume polarization and surface polarization in frequency-domain IP method under the condition mentioned above. According to these mathematical relations, we may theoretically ascertain the true basis, possibility and limitation of distinguishing IP anomolies by the characteristic parameters of complex resistivity of V. P. medium.