方向性岩石渗透率的矢量特性与计算模型

岩石渗透率的大小往往具有明显的方向性，因而方向渗透率是矢量。介绍了方向渗透率的地质成因；分析了在理解和应用岩石渗透率矢量特性时容易混淆的一些认识，并指出：不能把两个不同方向上的渗透率矢量合成在一起而作为该合矢量所对应方向上的岩石渗透率，也不能把渗透率矢量在某个方向上的投影作为该投影方向上的渗透率值。此外，还推导建立了一种各向异性渗透率的定量计算模型，据此，可以计算出平面内任意方向上的岩石渗透率值。该渗透率计算模型可用于油藏数值模拟中不同方向上的传导率计算以及各向异性油藏中不同方位上的井距设计。

Vector properties and calculation model for directional rock permeability

The researches and practice show that the permeability is often apparently related to direction, hence permeability is a kind of vector. The geological origins of directional permeability are expounded. Some confusable viewpoints, which occur when understanding and using the vector properties of permeability, are analyzed and put right. Also it is revealed that the resultant vector of two permeability vectors in two different directions can not serve as the rock permeability of the direction to which the resultant vector point; and the projection of a permeability vector can not be used as the permeability of the projection direction. Furthermore, A quantitative calculation model is deduced for anisotropic permeability. The horizontal permeability in any direction could be calculated by virtue of this model. Moreover, this calculation model of permeability could be used to compute the directional transmissibility in numerical reservoir simulation, and to design the well spaces in different directions for anisotropic reservoir.