基于典型饱水砂岩样品的多维空间多元统计密度反演方法

Density Inversion of Typical Water-saturated Sandstones with Multivariate Statistical Analysis in Multidimensional Space

实测数据资料、岩石物理学和多维空间多元统计思想的结合,有助于定量解析数据,减少岩石骨架、流体信息预测的风险性。运用典型饱水砂岩样品(韩德华G组砂岩样品)的密度、黏土含量和孔隙度实测数据,反演石英、黏土和流体的密度,所得反演结果符合实际情况,得到的拟合密度与实测密度相关系数可达0.985 5。所提出的密度反演方法的核心是多维空间多元统计思想与质量守恒定律相结合;与传统二维空间二元回归的密度反演方法对比结果表明,该方法不仅可以避免回归运算中奇异点的影响,而且得到的拟合密度与实测密度呈更为显著的相关关系。反演结果的均值与实际值相对误差在2%左右,准确度高,证明了方法的合理有效性。

The combination of measured data,rock physics and multivariate statistical analysis in multidimensional space is helpful for interpreting the data quantitatively and reduces the prediction risk of reservoir framework and fluid information.Densities of quartz,clay and fluid were inversed with the density,clay content and measured porosity pressure of typical water-saturated sandstone samples（De-hua Han＇s G group sandstone samples） in this paper.It reveals that the inversion result is consonant with the real situation.The correlation coefficient between fitting density and measured density can reach 0.985,5.The highlight of this density inversion method is the combination of multivariate statistical analysis in multidimensional space and the law of mass conservation.Compared to traditional binary regression method in two dimensional space,this method could not only avoid the effect of singular point in regression analysis,but also get fitting density which has more significant correlation with measured density.The relative error between the inversed mean value and measured value is about 2%,and the reliable result indicates that this method is reasonable and effective.