摘要
地下水开采造成区域性地面沉降,抽水量对地面沉降有显著影响,但两者间具体函数关系则缺乏深入的理论研究成果。基于沉降s—距离r间半对数线性关系:s=c1+c2ln r,进一步推导得到地面沉降漏斗的两形状参数最大沉降量c1、半对数空间沉降漏斗面斜率c2与抽水量Q呈线性关系,建立了c1、c2与Q间线性关系式,即抽水时段内地面沉降形状参数c1、c2与该时段内总抽水量Q均成正比。通过第三方文献两个工程案例中地面沉降实测数据和抽水量间函数关系的回归,以上关系式获得良好验证。为避免工程案例验证公式的偶然性,应用地下水数值模拟软件Processing MODFLOW建立数值模型进一步对关系式进行验证,分别建立群井同流量不同时长抽水和群井同时长不同流量抽水两种情况导致地面沉降,数值计算结果也验证了抽水时段内c1、c2与Q成正比。以上函数关系式简便实用,可为地面沉降预测和地下水开采规划提供依据,具有广泛应用价值。
Exploitation of groundwater leads to land subsidence. Pumping discharge has great effect on settlement. But the detailed theoretical relationship between land subsidence and pumping discharge has not been revealed. Based on linear s-lnr relation between subsidence and distance:s = c1+ c2 ln r,a linear correlation was found between the constants c1,c2 and the pumping discharge Q. Shape param-eter c1 represents the max subsidence at the center of land subsidence funnel. Shape parameter c2 repre-sents the slope of land subsidence funnel. These two equations were proved by the measured data from two engineering cases in literature. The results from the numerical model established by groundwater simulation software Processing MODFLOW verified the linear equations too. So the theoretical rela-tionship between land subsidence and pumping discharge was founded. The result of this paper is sim-ple and applicable. The shape parameter c1、c2 can be obtained by regression analysis from long-term monitoring data at subsidence region. Result from regression analysis can also be used to predict the land subsidence trend in future. It has comprehensive applications in engineering.
作者
杨建民
孙海涛
霍王文
YANG Jianmin;SUN Haitao;HUO Wangwen(Department of Civil Engineering,Tianjin University,Tianjin 300072,China;Key Laboratory of Coast Civil Structure Safety(Tianjin University),Ministry of Education,Tianjin 300072,China;Chongqing JZFZ Architectural Design Co.,Ltd.,Chongqing 401120,China)
出处
《防灾减灾工程学报》
CSCD
北大核心
2020年第4期543-555,共13页
Journal of Disaster Prevention and Mitigation Engineering
基金
天津大学北洋学者-青年骨干教师计划(2015)资助。
关键词
沉降
形状参数
抽水量
线性回归
land subsidence
shape parameter
pumping discharge
linear regression
