区域性地面沉降形状参数c1与c2间线性关系研究

Study on linear relationship between shape parameter c1 and c2 for regional land subsidence

因抽水导致的区域性地面沉降及其带来的危害已成为全球性的地质灾害之一.区域性地面沉降具有s-lnr线性关系规律,基于此规律进一步研究c1与c2之间的函数关系,进而通过确定c1,c2取值,可得不同距离r处的地面沉降值s.通过对圆形和椭圆形地面沉降漏斗中c1,c2两参数的表达式进行分析,分析结果显示地面沉降漏斗中处在不同方位角θ径向直线上的c1与c2之间呈线性关系,与方位角θ取值无关.通过中国、美国和印度共六个抽水导致的区域性地面沉降实例对c1与c2之间的线性关系进行验证,六个验证实例的线性拟合相关系数都大于98.50%,拟合结果非常好.所以,抽水导致区域性地面沉降漏斗中不同角度径向直线上的c1与c2之间的函数关系是线性关系.该规律的确定,从单一径向直线上的沉降规律推进到各角度径向直线构成的沉降漏斗面上的沉降规律,进一步揭示了区域性地面沉降漏斗性质,对沉降漏斗性质的认识从一维推进到二维,对于研究地面沉降规律具有重要理论意义,对于预测地面沉降具有应用价值.

Regional land subsidence from groundwater withdrawal is a very important global geologic hazard. The rule of linear s-lnr relation for regional land subsidence has been found. Based on this regularity,relationship between c1 and c2 was studied in this paper. The study helps to determine the values of c1 and c2 and further determine the subsidence value s for every distance. Based on the theoretical derivation of equation,expressions of parameters c1 and c2 in circular and elliptical ground subsidence funnels were reviewed,results of theoretical analysis revealed that for different radial line extended from the center of subsidence funnels,the correlation relation coincides with the linear between c1 and c2. The linear relation between c1 and c2 is independent of azimuthal angle θ. This rule is proved by 6 measured data from China,America and India. The monitoring data have great agreement with the new formula for c1 and c2. The correlation coefficient are all greater than 0.985. Compared with one-dimension linear s-lnr relation for regional land subsidence,the newly founded linear relation between c1 and c2 in this paper reveals a two-dimension law for subsidence funnel,which interprets the characteristic of land subsidence more deeply. It has important theoretical significance and comprehensive applications in engineering.