三种混合泥质砂岩有效介质通用电阻率模型比较

复杂泥质砂岩油气层的识别与评价一直是测井解释领域亟待解决的难点和热点问题,因此,针对复杂泥质砂岩油气层的特点,有必要研究能够描述这类储层导电规律的新导电理论。针对用于复杂泥质砂岩油气层解释的3种混合泥质砂岩有效介质电阻率模型,从理论和实验角度,进行了全面系统的比较。通过对3种有效介质通用电阻率模型建模理论基础的分析,可知混合泥质砂岩有效介质非对称模型基于HB方程和并联导电理论,对称模型基于对称导电理论和并联导电理论,而孔隙结合模型基于混合介质电导率积分方程;对称电阻率模型可用于多连续项存在的地层,而非对称电阻率模型和孔隙结合电阻率模型只允许水为连续项。对骨架不导电的纯砂岩进行模型化简,可知非对称电阻率模型和孔隙结合电阻率模型可以简化成阿尔奇公式,而对称电阻率模型能化简成类似阿尔奇公式。通过1组混合泥质砂岩人造岩样和2组分散泥质砂岩岩样以及1组骨架导电人造岩样的实验数据,验证3种有效介质通用电阻率模型均适用于混合泥质砂岩地层解释,且精度相近。

Integral equation of relationship on the apparent conductivity and true conductivity in induction logging

This paper investigates the relation between the induced electromotive force measured by induction logging tool and the apparent conductivity, and the relation between the apparent conductivity and the formation true conductivity. Assuming the conductivity in Green's function to be the function of the field point coordinate, the apparent conductivity expression of electric-field intensity is derived using Green's formula, and the integral equation has been established representing the relationship of the apparent conductivity with the true conductivity under this condition. The integral equation is analyzed and then leads to the conclusion that the equivalent conductivity is the apparent conductivity and the values of the apparent conductivity function contain the true conductivity, and the method derived the true conductivity from the apparent conductivity around the well axis is put forward. The validity of the approach given in this paper is verified through numerical calculation. On the basis of above means, the transmitter coil produces an electric-field distribution in formation at every point where the induction logging tool moves along a wellbore, and a number of the receiving coils obtain an apparent conductivity distribution; this is what induction electric-field logging is.