区域性地面沉降形状参数<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><msub><mrow><mi mathvariant="bold-italic">c</mi></mrow><mrow><mn mathvariant="normal">1</mn></mrow></msub></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/6440753E-1C4B-4420-BFBE-8833A438F9FE-M001.jpg"><?fx-imagestate width="5.50333357" height="7.45066643"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/6440753E-1C4B-4420-BFBE-8833A438F9FE-M001c.jpg"><?fx-imagestate width="5.50333357" height="7.45066643"?></graphic></alternatives></inline-formula>、<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><msub><mrow><mi mathvariant="bold-italic">c</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/6440753E-1C4B-4420-BFBE-8833A438F9FE-M002.jpg"><?fx-imagestate width="5.58799982" height="7.45066643"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/6440753E-1C4B-4420-BFBE-8833A438F9FE-M002c.jpg"><?fx-imagestate width="5.58799982" height="7.45066643"?></graphic></alternatives></inline-formula>与抽水量<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mi mathvariant="bold-italic">Q</mi></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/6440753E-1C4B-4420-BFBE-8833A438F9FE-M003.jpg"><?fx-imagestate width="5.84200001" height="6.34999990"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/6440753E-1C4B-4420-BFBE-8833A438F9FE-M003c.jpg"><?fx-imagestate width="5.84200001" height="6.34999990"?></graphic></alternatives></inline-formula>的关系

杨建民; 孙海涛; 霍王文

doi:10.13409/j.cnki.jdpme.2020.04.008

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区域性地面沉降形状参数

c_{1}

、

c_{2}

与抽水量

Q

的关系

更新时间：2025-09-25

- 区域性地面沉降形状参数 $c_{1}$ 、 $c_{2}$ 与抽水量 $Q$ 的关系
- Relation between Regional Land Subsidence Shape Parameter and Pumping Discharge
- 防灾减灾工程学报 2020年40卷第4期页码：543-555
- 作者机构：
  
  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
  3.重庆基准方中建筑设计有限公司，重庆 401120
- 作者简介：
  
  杨建民（1979-），男，副教授，硕导，博士。主要从事地面沉降方面的研究。Email: yangjianmin@tju.edu.cn
- 基金信息：
  
  天津大学北洋学者-青年骨干教师计划(2015)
- DOI：10.13409/j.cnki.jdpme.2020.04.008
  中图分类号： P642;TU42
- 收稿：2018-07-16，
  
  修回：2018-11-28，
  
  纸质出版：2020-08-15
- 稿件说明：
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杨建民,孙海涛,霍王文.区域性地面沉降形状参数c1、c2与抽水量Q的关系[J].防灾减灾工程学报,2020,40(04):543-555.

YANG Jianmin,SUN Haitao,HUO Wangwen.Relation between Regional Land Subsidence Shape Parameter and Pumping Discharge[J].Journal of Disaster Prevention and Mitigation Engineering,2020,40(04):543-555.
杨建民,孙海涛,霍王文.区域性地面沉降形状参数c1、c2与抽水量Q的关系[J].防灾减灾工程学报,2020,40(04):543-555. DOI： 10.13409/j.cnki.jdpme.2020.04.008.

YANG Jianmin,SUN Haitao,HUO Wangwen.Relation between Regional Land Subsidence Shape Parameter and Pumping Discharge[J].Journal of Disaster Prevention and Mitigation Engineering,2020,40(04):543-555. DOI： 10.13409/j.cnki.jdpme.2020.04.008.

区域性地面沉降形状参数

c_{1}

、

c_{2}

与抽水量

Q

的关系

PDF下载

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

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404113&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404112&type=

1.10066664

2.37066674

—距离

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404115&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404114&type=

1.26999998

2.37066674

间半对数线性关系：

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404117&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404116&type=

19.04999924

3.30199981

，进一步推导得到地面沉降漏斗的两形状参数最大沉降量

、半对数空间沉降漏斗面斜率

与抽水量

呈线性关系，建立了

、

与

间线性关系式，即抽水时段内地面沉降形状参数

、

与该时段内总抽水量

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

、

与

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。

Abstract

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:

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404119&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404118&type=

22.01333427

3.81000018

a linear correlation was found between the constants

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404122&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404120&type=

2.70933342

3.72533321

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404124&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404123&type=

2.70933342

3.72533321

and the pumping discharge

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404127&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404125&type=

2.87866688

3.21733332

. Shape parameter

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404129&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404128&type=

2.70933342

3.72533321

represents the max subsidence at the center of land subsidence funnel. Shape parameter

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404131&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404130&type=

2.70933342

3.72533321

represents 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 relationship between land subsidence and pumping discharge was founded. The result of this paper is simple and applicable. The shape parameter

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404135&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404133&type=

2.70933342

3.72533321

、

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404137&type=

http://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=3404136&type=

2.70933342

3.72533321

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.

关键词

Keywords

references

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区域性地面沉降形状参数、与抽水量的关系

区域性地面沉降形状参数c1、c2与抽水量Q的关系

Relation between Regional Land Subsidence Shape Parameter and Pumping Discharge

DOI：10.13409/j.cnki.jdpme.2020.04.008

摘要

Abstract

关键词

Keywords

references

区域性地面沉降形状参数 $c_{1}$ 、 $c_{2}$ 与抽水量 $Q$ 的关系