岩心加压饱和地层水时间计算方法

摘要

This paper will consider the process of saturating core with liquid as a radial flow in core with a constant pressure outer boundary and closed inner boundary.After the differential equation and boundary conditions is estab-lished, we can rewrite them in dimensionless form, then in Laplasse transform.Finally, by numerical inversion method we could get the curve of dimensionless pressure and dimensionless time.According to the definition of the dimensionless time, the dimensionless time when the core was fully saturated is converted into the real time.The example shows the core is completely saturated in a relatively short time.%将岩心抽真空后加压饱和流体的过程视为外边界定压、内边界封闭的岩心内径向渗流，建立渗流模型和定解条件，首先将方程和定解条件无因次化，然后进行拉普拉斯变换，利用数值反演后编程得到无因次压力与无因次时间的关系曲线。根据无因次时间的定义，将岩心充分饱和状态的无因次时间变换为真实时间。实例计算结果表明，在较短的时间内，岩心就能达到完全饱和状态。