Based on linear s-lnr relation of land subsidence from a single well pumping

equations of land subsidence from group wells pumping distributed as line and area were derived by applying the method of integration. For the observation point far away from the center of group wells

after simplifying the equations above

the result of formula reveals that the linear s-lnr relation is satisfied too. The result is proved by the monitored data from the third party literatures including classical theoretical solutions

numerical solution and engineering example. The monitored data agrees well with the new formula. The correlation coefficients of fitting curves are 99.91%

98.67%

96.60%

99.63% and 99.43%. So the linear s-lnr relation of land subsidence from group wells pumping distributed as line and area are verified well.