| 渗透性水平向各向异性导致椭圆形地面沉降漏斗的一个性质 |
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| 引用本文： | 杨建民,霍王文.渗透性水平向各向异性导致椭圆形地面沉降漏斗的一个性质[J].岩土力学,2018,39(8):2960-2976. |
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| 作者姓名： | 杨建民 霍王文 |
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| 作者单位： | 1. 天津大学 建筑工程学院 土木工程系，天津 300072；2. 天津大学 滨海土木工程结构与安全教育部重点实验室，天津 300072 |
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| 基金项目： | 天津大学北洋学者-青年骨干教师计划资助项目。 |
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| 摘 要： | 水平向渗透系数各向异性会导致抽水产生的水位降深等值线呈现椭圆形，进而产生椭圆形地面沉降漏斗，这种椭圆形地面沉降漏斗的现象在现实中广泛存在。渗透系数均质各向同性的圆形地面沉降漏斗中，地面某点沉降值s与该点至漏斗中心的距离r之间符合s- 线性关系，渗透性水平向各向异性导致的椭圆形地面沉降漏斗也具有s- 线性关系规律。应用地下水动力学相关理论，经过理论推导，得出了椭圆形地面沉降漏斗各径向线上半对数线性关系式 中常数项 、 与径向线方位角θ之间的函数关系式，即 、 与 或 的平方呈正比，该函数关系式得到中国、美国和印度共6个区域性地面沉降漏斗实例的有力验证。对公式验证回归所得的12个相关系数中，1个为87.19%，其余11个都在90%以上。以上渗透性水平向各向异性导致的区域性椭圆形地面沉降漏斗的性质，公式简单实用，可方便应用于椭圆形地面沉降漏斗中非监测点的沉降值推测，利于全面了解椭圆形沉降漏斗信息，具有广泛应用价值。
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| 关 键 词： | 渗透性 各向异性 沉降漏斗 椭圆形 |
| 收稿时间： | 2017-03-05 |
A character of elliptical regional land subsidence due to horizontal anisotropic permeability |
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| YANG Jian-min,HUO Wang-wen.A character of elliptical regional land subsidence due to horizontal anisotropic permeability[J].Rock and Soil Mechanics,2018,39(8):2960-2976. |
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| Authors: | YANG Jian-min HUO Wang-wen |
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| Institution: | 1. Department of Civil Engineering, School of Civil Engineering, Tianjin University, Tianjin 300072, China; 2. Key Laboratory of Coast Civil Structure Safety of Ministry of Education, Tianjin University, Tianjin 300072, China |
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| Abstract: | The anisotropy of horizontal permeability coefficient causes an elliptical contour of the water level drop when pumping, which further results in an elliptical land subsidence funnel. The phenomenon of this elliptical land subsidence funnel exists widely. For homogeneous isotropic aquifers, circlular land subsidence contours are round, and subsidence and distance coincides with the rules of linear s- relation. The relationship of linear s- is suitable for homogeneous anisotropic aquifers too. While land subsidence contours are elliptical for homogeneous anisotropic aquifers. In equation of , and are coefficients. For each radial line of subsidence contours, the relation between coefficients , and angle θ of radial line is founded applying groundwater hydraulics. The coefficients , are in proportion to square of or square of . The formula is proved by monitoring data from 6 regional land subsidence located in China, American and Indian. These monitoring data have great agreement with the new formula of , and . One correlation coefficient between , and is 0.871 9, the other 11 correlation coefficient are all greater than 0.9. The character of elliptical land subsidence due to horizontal anisotropic permeability is represented. The formula of , and has simple form. So it is easy to apply in engineering. The formula can be used to predict the vertical displacement for land subsidence. |
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| Keywords: | permeability anisotropic subsidence funnel elliptical |
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