中文摘要：

通过融合各向异性微分等效介质理论（DEM）和Brown-Korringa各向异性流体替换模型,本文提出根据纵波速度反演岩石等效孔隙纵横比进行页岩气储层横波速度预测的方法.首先,利用各向异性DEM和Brown-Korringa模型建立岩石的纵横波速度与密度、孔隙度、饱和度和矿物组分等各参数之间的关系;其次,将岩石孔隙等效为具有单一孔隙纵横比的理想椭球孔,应用二分法来寻找最佳的等效孔隙纵横比使得理论预测与实际测量的纵波速度之间的误差最小;最后,将反演得到的等效孔隙纵横比代入到各向异性DEM和Brown-Korringa模型中构建横波速度.实验室数据应用表明,由纵波构建的横波速度与实测横波速度吻合良好,说明本文提出的有机页岩横波速度预测方法是有效的.

英文摘要：

By combining the anisotropic differential effective medium theory（DEM）with the anisotropic fluid substitution model,which is called Brown-Korringa model,this paper presents a method for shear velocity prediction from the effective pore aspect ratio inverted from the P-wave velocity.First,we build a relationship among P-wave and S-wave velocity, density, porosity, saturation and mineral compositions et al through the anisotropic DEM model and Brown-Korringa model.Then,by assuming that the porous rock contains spheroidal pores with a single aspect ratio,we apply the bisection method to find the best estimate for the effective pore aspect ratio by minimizing the error between theoretical predictions and experimental measurements.Finally,we estimate the S-wave velocity from the inverted effective pore aspect ratios.The experimental data show that the predicted shear velocity from P-wave is in good agreement with the measured ones,which illustrates the validity of our method for predicting organic shales shear velocity.