储水层质量守恒方程的简化及在垂向弹性形变假定下与水流方程的耦合

给出了非固结储水层的质量守恒方程在不同假定条件下的简化形式及其物理意义,并揭示水的非稳定渗流与储水层形变之间的相互因果关系及形变量与储(释)水量之间的体积交换关系.通过垂向弹性形变假定下,储水层形变质量守恒方程与渗流方程的耦合分析发现,细粒储水层由于水头变化导致骨架对水的弹性储存或释放而引发的任一点处的垂向应变,等于其储水层的总弹性储(释)水率或骨架弹性储(释)水率与水头增量的乘积,该公式实际上为计算地面沉降的分层总和法提供了基本理论依据.

SIMPLIFICATION OF THE MASS BALANCE EQUATION OF WATER STORAGE FORMATION AND ITS COUPLING WITH THE FLOW EQUATION UNDER VERTICAL ELASTICITY ASSUMPTION

Simplified Expressions and physical meanings of the mass balance equation of unconsolidated water storge formation are developed based on different assumptions.The results show that there are a mutual causality between unsteady flow and deformation of water storage formation, and a volume exchange relationship between deformation quantity of uncondolidated water storage formation and groundwater recharge/discharge increment. Couplings of mass balance equation of unconsolidated water storage formation and flow equation indicate that vertical strain of argillaceous formation resulted from water storage/release of solid skeleton of the formation during a specific time equals to the result of total specific storage multiplied by water head increment happening during the same time, which is actually used to be the theoretical basis of a land subsidence calculation formula called as storied summation approach.