Adjoint Function Method Of Connection Number And Its Application In Analysis Of Water Resources System

Aiming at the uncertainty of water resources system analysis,this paper proposes to carry out three aspects of application research in water resources system analysis by combining the improvement and innovation of adjoint function of connection number:by improving the connection entropy of adjoint function of connection number,the evaluation method of water resources carrying capacity based on connection entropy is constructed,and the new adjoint function of connection number,set pair potential,is proposed According to this,the dynamic evaluation method of water resources carrying capacity based on gravitational subtraction set pair potential is established,and the drought risk evaluation method combining gravitational subtraction set pair potential with risk matrix is constructed.The main research contents and conclusions are as follows(1)In order to define the concept and mathematical expression of connection entropy accurately and reflect the meaning of uncertain information distribution of connection entropy,the improved connection entropy,which reflects the internal uncertainty state and orderly development of set pair events,is proposed by combining the analysis method of connection number with information entropy and connection entropy,and applied to the evaluation of water resources carrying capacity in Anhui Province The calculation methods are compared and analyzed.The results show that: the grade evaluation results of water resources carrying capacity of Anhui Province calculated by the improved connection entropy method are consistent with the average connection number evaluation,subtraction set pair potential and effect total partial connection coefficient evaluation results,and the correlation coefficient is very close to 1.0;the improved connection entropy method is simple,applicable and reasonable,which can provide a new way for judging the orderly development of set pair events.(2)In order to analyze the dynamic change of water resources carrying capacity,effectively identify the vulnerability index,and further enhance the physical meaning of subtraction set pair potential,a gravitational subtraction set pair potential was constructed to reflect the connection degree and development trend of set pair events.The gravitational subtraction set pair potential is applied to the dynamic analysis and evaluation of water resources carrying capacity in Anhui Province,and compared with the existing subtraction set pair potential.The results show that: the results of dynamic analysis and situation judgment of water resources carrying capacity of Anhui Province by gravitational subtraction set pair potential are consistent with the existing subtraction set pair potential,and the correlation coefficient between the two sets pair potentials is close to 1.0;According to the gravity subtraction set pair potential,vegetation coverage rate,population density,sewage discharge standard rate,water quality standard rate of water function area and ecological water use rate are the vulnerability indicators of water resources carrying capacity evaluation in Anhui Province from 2005 to 2015,which need to be regulated.(3)In order to reasonably distinguish the dynamic state and vulnerability index of regional drought risk,a dynamic analysis and evaluation method of drought risk is proposed by combining gravitational subtraction set pair potential with risk matrix,attribute recognition and level eigenvalue method.It is applied to the dynamic analysis and evaluation of drought risk in Shandong Province,and compared with the existing index method.The results show that: the application results of the four methods in the drought risk system of Shandong Province are consistent;the combination of gravitational subtraction set pair potential and level eigenvalue method is more explanatory and refined for the analysis of each index,and the results are in line with the reality;the risk matrix based on attribute recognition method is simple and intuitive,and the results are in line with the reality,but the evaluation level is only 3 The results show that the forest coverage rate,the output value ratio of the tertiary industry,the sewage discharge rate and the precipitation are the key indicators to be regulated and monitored;the comprehensive application of these four methods can provide an effective way to assess the regional drought risk and development trend,and identify the vulnerability indicators.