岩石弹性变形中孔隙度变化公式及其应用

Porosity changing formula for rock elastic deformation and its application

借助于Zimmerman提出的压缩系数及其相关关系,将孔隙度变化与压缩系数结合起来,从理论上证明了岩石在弹性变形过程中孔隙度的变化情况。孔隙度变化与否与净围压有直接关系,若净围压不变,孔隙度也不变;若净围压改变,则孔隙度也将变化;这就为孔隙度校正提供了理论依据。该公式还表明孔隙度越低,孔隙度相对变化量越大,孔隙度校正就变得越重要。此外,用孔隙度变化公式还可以计算岩石弹性可采储量和弹性采收率。

This paper combines porosity change and compression coefficient with the help of compression proposed by Zimmerman. It proves theoretically the porosity change of rock in the process of elastic deformation. Porosity change has direct relation with net confining pressure. If net confining pressure does not change, porosity does not change, and vise versa. This provides theoretical evidence for porosity correction. This formula also shows that the lower the porosity is, the larger the relative change of porosity is, and the more important porosity correction is. Moreover, using porosity changing formula can calculate the rock elastic recoverable reserves and elastic recovery.