球管孔隙模型的约束寻优及应用

Restricted and Optimized Conditions of Sphere-Cylinder Model and Its Applications

球管模型考虑了球孔隙和管形孔隙在不同组合形式下具有的核磁共振特征,对其进一步改进,提出带有约束寻优条件的球管孔隙模型,并用正演方法实现了对岩石孔隙结构的寻优分析.研究表明,球管孔隙模型在表面积约束、体积约束及比表面约束下的孔隙结构变化几乎是等效的.应用带有约束寻优条件的球管模型分析真实岩芯的核磁共振实验数据,得到了真实岩芯孔隙结构的最近似描述矩阵,并指出了岩石理想的孔隙结构形态.

The paper presents an improved sphere-cylinder model to simulate pore structure in true rock. The sphere-cylinder model simulates nuclear magnetic resonance（NMR） characters when spherical pore and cylindrical pore are linked in various ways. In this paper, the sphere-cylinder model is ameliorated firstly with restricted ＆ optimized conditions, and then the optimization evaluations of pore structure are conducted on the basis of the forward model. Research shows that the restricted conditions in surface area, volume and surface-to-volume ratio are almost identical for the sphere-cylinder model. After the sphere-cylinder model with restricted-optimized conditions is employed for core NMR measurements, the matrix that best characterizes the pore structures in core is obtained, and also the ideal pore structure of the core is pointed out.