CN109902416A - A kind of surface subsidence multivariate mathematical relationship - Google Patents
A kind of surface subsidence multivariate mathematical relationship Download PDFInfo
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- CN109902416A CN109902416A CN201910174224.7A CN201910174224A CN109902416A CN 109902416 A CN109902416 A CN 109902416A CN 201910174224 A CN201910174224 A CN 201910174224A CN 109902416 A CN109902416 A CN 109902416A
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Abstract
The invention discloses a kind of surface subsidence multivariate mathematical relationships, including relationship I, relationship II, relationship III；Relationship I, relationship II, the expression formula of relationship III difference are as follows: Lcn=4 × 10‑5Pn 3‑0.003Pn 2+0.079Pn+0.873；Scn=-0.086Pn 3+3.562Pn 2‑21.899Pn+444.09；The present invention can identify the response relation between amount of groundwater mining and surface subsidence, and by verifying, the correlation of relationship I reaches 0.9954, and the correlation of relationship II reaches 0.9889, and the correlation of relationship III reaches 0.8712, and accuracy is more preferable.
Description
Technical field
The invention belongs to geological disaster prevention and control management domains, relate in particular to a kind of surface subsidence multivariate mathematical pass
System.
Background technique
Groundwater resources are the important water resources of the mankind, need to rationally be managed.Some areas in order to maintain economy to water
The demand of resource, concentrations exploiting groundwater cause urban water supply area to generate large range of cone of depression, or even draw
The geological disasters such as surface subsidence and karst collapse are sent out, some areas quality of groundwater occurs constantly to deteriorate, and it is seriously polluted, to society
Economy and people's lives bring immeasurable loss.
Groundwater mining is to generate the most important reason of surface subsidence.Both at home and abroad about amount of groundwater mining and surface subsidence
The response relation measured between (center adds up settling amount, settling area, funnel area) is clear not enough.And apparent amount of groundwater mining
Have great importance with the response relation of surface subsidence to identification Mechanism of Land Subsidence, surface subsidence control.
Summary of the invention
Technical problem to be solved by the invention is to provide one kind can it is apparent, accurately identification amount of groundwater mining and ground
The surface subsidence multivariate mathematical relationship of response relation between the sedimentation of face.
In order to solve the above-mentioned technical problem, the present invention adopts the following technical scheme: a kind of surface subsidence multivariate mathematical closes
System, including relationship I, the expression formula of relationship I are as follows:
Lcn=4 × 10-5Pn 3-0.003Pn 2+0.079Pn+ 0.873 relationship I；
LcnIt represents 1 year center and adds up settling amount, unit m；PnIt represents 1 year underground water and adds up yield, unit is
Hundred million m3。
Further, further include relationship II, the expression formula of relationship II is as follows:
Scn=-0.086Pn 3+3.562Pn 2-21.899Pn+ 444.09 relationships II；
ScnRepresent 1 year settling area, unit km2；PnIt represents 1 year underground water and adds up yield, unit is hundred million m3。
Further, further include relationship III, the expression formula of relationship III is as follows:
PnIt represents 1 year underground water and adds up yield, unit is hundred million m3；ScnRepresent 1 year settling area, unit km2；
LcnIt represents 1 year center and adds up settling amount, unit m；SlnRepresent 1 year cone of depression area, unit km2。
The invention has the benefit that
The present invention can identify the response relation between amount of groundwater mining and surface subsidence, by verifying, the phase of relationship I
Closing property reaches 0.9954, and the correlation of relationship II reaches 0.9889, and the correlation of relationship III reaches 0.8712, shows energy of the present invention
Enough apparent underground water adds up the mathematical relationship of the accumulative settling amount of yield and center, the accumulative yield of underground water and settling area
Mathematical relationship and underground water add up the number between the accumulative settling amount of yield and center, settling area, cone of depression area
Relationship, accuracy are more preferable.
Detailed description of the invention
Fig. 1 is the L of Fuyang City many yearscnWith PnIntuitive coordinate diagram；
Fig. 2 is the S of Fuyang City many yearscnWith PnIntuitive coordinate diagram；
Fig. 3 is Fuyang City many yearsWithIntuitive coordinate diagram.
Specific embodiment
To keep the technical problem to be solved in the present invention, technical solution and advantage clearer, below in conjunction with attached drawing and tool
Body embodiment is described in detail.It should be noted that in the absence of conflict, in the embodiment and embodiment in the application
Feature can be combined with each other.
The present invention is for clear not enough about the response relation between amount of groundwater mining and ground settlement both at home and abroad at present
Clear defect provides a kind of better surface subsidence multivariate mathematical relationship of accuracy.The mathematical relationship includes relationship I, relationship I
Expression formula it is as follows:
Lcn=4 × 10-5Pn 3-0.003Pn 2+0.079Pn+ 0.873 relationship I；
LcnIt represents 1 year center and adds up settling amount, unit m；PnIt represents 1 year underground water and adds up yield, unit is
Hundred million m3。
In one embodiment, further include relationship II, the expression formula of relationship II is as follows:
Scn=-0.086Pn 3+3.562Pn 2-21.899Pn+ 444.09 relationships II；
ScnRepresent 1 year settling area, unit km2；PnIt represents 1 year underground water and adds up yield, unit is hundred million m3。
In one embodiment, further include relationship III, the expression formula of relationship III is as follows:
PnIt represents 1 year underground water and adds up yield, unit is hundred million m3；ScnRepresent 1 year settling area, unit km2；
LcnIt represents 1 year center and adds up settling amount, unit m；SlnRepresent 1 year cone of depression area, unit km2。
Relationship I, relationship II and relationship III of the present invention are inventors by studying for many years, design a mathematical models up to a hundred, warp
A large amount of verifying, analysis and modification are crossed, it is heavy to have paid the preferable ground of accuracy that a large amount of creative work finally confirms
Multivariate mathematical relationship drops.
Table 1 is 1996 to 2016 amount of groundwater mining of Fuyang City, center accumulative settling amount, settling area, landing
The measured data of funnel area；
Table 1
Relationship I of the present invention, the accuracy of relationship II and relationship III are verified with the measured datas of Fuyang City many years, Fuyang City is more
The L in yearcnWith Pn、ScnWith Pn、WithIntuitive coordinate diagram difference it is as shown in Figure 1 to Figure 3, by verifying, relationship I
Correlation reaches 0.9954, and the correlation of relationship II reaches 0.9889, and the correlation of relationship III reaches 0.8712, shows the present invention
It is capable of the mathematical relationship of the accumulative settling amount of the accumulative yield of apparent underground water and center, underground water adds up yield and settling area
Mathematical relationship and underground water add up yield and center and add up between settling amount, settling area, cone of depression area
Mathematical relationship, accuracy are more preferable.
It should be understood that example as described herein and embodiment are not intended to restrict the invention, this field only for explanation
Technical staff can make various modifications or variation according to it, all within the spirits and principles of the present invention, made any modification,
Equivalent replacement, improvement etc., should all be included in the protection scope of the present invention.
Claims (3)
1. a kind of surface subsidence multivariate mathematical relationship, it is characterised in that: including relationship I, the expression formula of relationship I is as follows:
Lcn=4 × 10-5Pn 3-0.003Pn 2+0.079Pn+ 0.873 relationship I；
LcnIt represents 1 year center and adds up settling amount, unit m；PnIt represents 1 year underground water and adds up yield, unit is hundred million m3。
2. surface subsidence multivariate mathematical relationship as described in claim 1, it is characterised in that: further include relationship II, relationship II
Expression formula it is as follows:
Scn=-0.086Pn 3+3.562Pn 2-21.899Pn+ 444.09 relationships II；
ScnRepresent 1 year settling area, unit km2；PnIt represents 1 year underground water and adds up yield, unit is hundred million m3。
3. surface subsidence multivariate mathematical relationship as claimed in claim 1 or 2, it is characterised in that: further include relationship III, relationship
III expression formula is as follows:
PnIt represents 1 year underground water and adds up yield, unit is hundred million m3；ScnRepresent 1 year settling area, unit km2；LcnGeneration
1 year center of table adds up settling amount, unit m；SlnRepresent 1 year cone of depression area, unit km2。
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1776458A (en) * | 2005-11-17 | 2006-05-24 | 上海交通大学 | Method for determining underground water extractable amount according to annual ground setting and pump-out |
| RU2376469C1 (en) * | 2008-07-21 | 2009-12-20 | Учреждение Российской академии наук Центр геофизических исследований Владикавказского научного центра РАН и Правительства Республики Северная Осетия-Алания (ЦГИ ВНЦ РАН и РСО-А) | Device for determination of ground surface subsidence |
| KR100982448B1 (en) * | 2010-03-03 | 2010-09-16 | 한국지질자원연구원 | Ground subsidence prediction system and predicting method using the same |
| CN102494667A (en) * | 2011-11-30 | 2012-06-13 | 同济大学 | Characterizing method of land subsidence |
| CN104091063A (en) * | 2014-07-01 | 2014-10-08 | 天津市水文水资源勘测管理中心 | Method for using regression analysis for determining groundwater control level |
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2019
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1776458A (en) * | 2005-11-17 | 2006-05-24 | 上海交通大学 | Method for determining underground water extractable amount according to annual ground setting and pump-out |
| RU2376469C1 (en) * | 2008-07-21 | 2009-12-20 | Учреждение Российской академии наук Центр геофизических исследований Владикавказского научного центра РАН и Правительства Республики Северная Осетия-Алания (ЦГИ ВНЦ РАН и РСО-А) | Device for determination of ground surface subsidence |
| KR100982448B1 (en) * | 2010-03-03 | 2010-09-16 | 한국지질자원연구원 | Ground subsidence prediction system and predicting method using the same |
| CN102494667A (en) * | 2011-11-30 | 2012-06-13 | 同济大学 | Characterizing method of land subsidence |
| CN104091063A (en) * | 2014-07-01 | 2014-10-08 | 天津市水文水资源勘测管理中心 | Method for using regression analysis for determining groundwater control level |
Non-Patent Citations (2)
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| 刘明坤;寇文杰;罗勇;王荣;田芳;赵晨曦;刘建凯;: "北京市地面沉降与地下水开采关系分析", 城市地质, no. 01 * |
| 杨丽萍;周志华;: "地面沉降与地下水开采相关关系及沉降预测", 南水北调与水利科技, no. 03 * |
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