用岩石复电阻率求渗透率的研究

岩石的复电特性起因于它的电导和介电响应。电导与自由电荷的移动有关,介电响应与孔隙--颗粒介面上的极化现象相关联。可见这种介面极化可以在复电阻率和岩石孔隙度之间提供一种关联,而岩石孔隙度又可以通过一个Kozeny-Carman型关系与岩石渗透率联系起来,这就在复电阻率与渗透率之间建立了一种联系。本文计算了不同孔隙度的岩石模型的复电阻率和渗透率,从计算出的复电阻率和渗透率中进行分析,建立利用岩石的复电阻率来求取岩石渗透率的公式,验证了用岩石的复电阻率求取渗透率的可行性。

Research on Calculating Permeability with Complex Resistivity

The characteristic of rock complex resistivity comes from electric conductance and its dielectric response.The former relates with free charge migration,the latter lies in the phenomenon of surface polarization between the porosity and particles.Obviously this kind of phenomenon of surface polarization provides one kind of connection between the complex electronic resistivity and the porosity.But the porosity characteristic and the rock's permeability could be connected by the Kozeny-Carman formula.The paper calculates the complex electronic resistivity and the permeability of different porosity rock models,analyses the complex electronic resistivity and the permeability which were done by statistical computation,and sets up the formula by calculating permeability with the complex resistivity of rock.