抽注水引起含水层水平径向运动的位移方程

EQUATION FOR HORIZONTAL-RADIAL DISPLACEMENT OF AQUIFER CAUSED BY WATER-PUMPING/INJECTION

在垂直方向零应变、垂直方向总荷载不变、忽略骨架颗粒本身的压缩性、骨架颗粒与水分别为均质的假定条件下,推导出均质各向同性多孔介质水平面轴对称径向弹性形变下的位移方程。它与传统假定(Jacob假定)下的水平面轴对称位移方程在形式上没有区别,只是方程中的系数定义式有所不同。新位移方程的系数也比传统假定下的位移方程的系数大,但也仍为常数。如果方程中的系数通过野外试验或模型识别来确定,则对传统假定下的水平面轴对称位移方程与所给出的新方程就没有必要进行区分。但利用抽水试验确定的骨架弹性储水率计算垂向压缩量时,则计算值偏大。

The displacement equation for horizontal axisymmetric deformation of aquifer, as a homogeneous and isotropic porous medium, is developed under assumptions that matrix material is perfectly elastic, that skeletal particles and water are homogeneous and are not compressible, and that changes of pore pressure in the aquifer lead only to horizontal displacements of the solid skeleton of the formation with constant vertical mechanical loading, but not to vertical displacements. Compared with the corresponding equations developed under traditional assumptions (Jacob assumptions), the new equations have the same structural form but with a different coefficient. The new-defined displacement coefficient, though still constant, is greater than traditional one. The new equation should be distinguished from the traditional one unless the coefficients in them are obtained by field tests in the fields or model calibration. The calculation value of vertical compaction will be bigger than its actual value if the skeletal elastic water storage in the subsidence model is obtained from pumping test.