Analysis and Application of Multivariate Mathematical Functions for Groundwater Overextraction and Land Subsidence in Fuyang City

阜陽市地下水超抽與地層下陷多變數數學函數解析及應用

10.6937/TWC.201912_67(4).0007

朱玲玲(LING-LING ZHU)；朱梅(MEI ZHU)；王振龍(ZHEN-LONG WANG)；張天彤(TIAN-TONG ZHANG)

Groundwater overextraction ； Land subsidence ； Regression statistics ； Controlled extraction ； 地下水超抽 ； 地層下陷 ； 回歸統計 ； 控制抽水

台灣水利

67卷4期（2019 / 12 / 01）

68 - 76

英文

With deep groundwater overextraction statistical data and land subsidence monitoring data in Fuyang City from 1996 to 2016, regression statistical models were used to identify multivariable mathematical function relationships between groundwater overextraction and land subsidence in Fuyang City, before and after controlled groundwater extraction. The relationship between groundwater overextraction and land subsidence in Fuyang City were divided into three distinct stages with Stage I as, before controlled extraction (1996 to 2000); Stage II as, before controlled extraction (2001 to 2010); and Stage III as, after controlled extraction (2011 to 2016). Additionally, the relationship between groundwater overextraction (P_n) and land subsidence (L_(cn)) was an exponential function at Stage I; a logarithmic function at Stage II; and a quadratic function at Stage III. P_n is closely related to land subsidence (S_(cn)), which as an exponential function, linear function, and quadratic function relationship at Stage I, II, III, respectively. For the entire period from 1996 to 2016, power function relationships among P_n, L_(cn), S_(cn), and funnel area (S_(ln))were present. This study provides theoretical support for disaster prevention and mitigation in Fuyang City and geologically similar areas.

採用回歸分析法，利用阜陽市1996～2016年深層地下水抽水統計資料和地層下陷監測資料，建立回歸統計模型，識別了阜陽市地下水超抽與地層下陷在控制抽水前後的多變數數學函數關係。阜陽市地下水超抽與地層下陷關係在1996～2016年間呈明顯的三個階段：1996～2000年為控制抽水前（I）階段、2001～2010年為控制抽水前（II）階段、2011～2016年為控制抽水後（III）階段。地下水累計開採量與中心累計沉降量在控制抽水前（I）階段呈指數函數關係、控制抽水前（II）階段呈對數函數關係、控制抽水後（III）階段呈二次函數關係，與沉降面積在控制抽水前（I）階段呈指數函數關係、控制抽水前（II）階段呈線性函數關係、控制抽水後（III）階段呈二次函數關係。地下水累計開採量與漏斗面積及地層下陷量在1996～2016整個階段呈冪函數關係。本研究為阜陽市及地質相似區的防災減災提供理論支撐。

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