Distributed Simulation‐optimization Model for Conjunctive Use of Groundwater and Surface Water Under Environmental and Sustainability Restrictions

Evolving optimal management strategies are essential for the sustainable development of water resources. A coupled simulation-optimization model that links the simulation and optimization models internally through a response matrix approach is developed for the conjunctive use of groundwater and surface water in meeting irrigation water demand and municipal water supply, while ensuring groundwater sustainability and maintaining environmental flow in river. It incorporates the stream-aquifer interactions, and the aquifer response matrix is generated from a numerical groundwater model. The optimization model is solved by using MATLAB. The developed model has been applied to the Hormat-Golina valley alluvial stream-aquifer system, Ethiopia, and the optimal pumping schedules were obtained for the existing 43 wells under two different scenarios representing with and without restrictions on stream flow depletion, and satisfying the physical, operational and managerial constraints arising due to hydrological configuration, sustainability and ecological services. The study reveals that the total annual optimal pumping is reduced by 19.75?% due to restrictions on stream flow depletion. It is observed that the groundwater pumping from the aquifer has a significant effect on the stream flow depletion and the optimal conjunctive water use plays a great role in preventing groundwater depletion caused by the extensive pumping for various purposes. The groundwater contribution in optimal conjunctive water use is very high having a value of 92?% because of limited capacity of canal. The findings would be useful to the planners and decision makers for ensuring long-term water sustainability.

     

Optimal Land-Use Management for Surface Source Water Protection Under Uncertainty: A Case Study of Songhuaba Watershed (Southwestern China)

The water supply to Chinese cities is increasingly degrading from pollution due to watershed activities. Consequently, water source protection requires urgent action using optimal land-use management efforts. An inexact linear programming model for optimal land-use management of surface water source area was developed. The model was proposed to balance the economic benefits of land-use development and water source protection. The maximum net economic benefit (NEB) was chosen as the objective of land-use management. The total environmental capacity (TEC) of rivers and the minimum water supply (MWS) were considered key constraints. Other constraints included forest coverage, government requirements concerning the proportions of various land-use types, soil loss, slope lands, and technical constraints. A case study was conducted for the Songhuaba Watershed, a reservoir supplying water to Kunming City, the third largest city in southwestern China. A 15-year (2006 to 2020) optimal model for land-use management was developed to better protect this water source and to gain maximum benefits from development. Ten constraints were involved in the optimal model, and results indicated that NEB ranged between 893 and 1,459 million US$. The proposed model will allow local authorities to better understand and address complex land-use systems and to develop optimal land-use management strategies for balancing source water protection and local economic development.     

随机约束线性规划在水库综合利用中的应用

由于水库入流的不确定性，各用水目标的基本要求（目标放水量）将体现在年内各时期水库放水的随机约束上，配合水库线民生蓄泄水决策规则，将全部随机约束进行确定性等效转换，得到线性规划模型，经多次解析，就可得到水主加容量一定情况下的最优运行规则，针对大型水资源工程综合利用的多目标要求，研究建立了随机约束线性规划模型，以求解水库最优运行规划的方法，并以西南地区某大型综合利用水库为例，对模型进行求解，该方法随机     

Conjunctive Use of Surface and Groundwater with Inter-Basin Transfer Approach: Case Study Piranshahr

Disregarding water as a key sustainable development has led to the water crisis in Iran. This problem is the biggest factor for marginalizing the planning and long-term management of water. The sustainable development policies in water resources management of IRAN require consideration of the different aspects of management that each of them demands the scientific integrated programs. Optimal use of inter-basin surface and groundwater resources and transfer of surplus water to adjacent basins are important from different aspects. The purpose of this study is to develop an efficient optimization model based on inter-basin water resources and restoration of outer-basin water resources. In the proposed model the three different objectives are as follow supplying inter-basin water demand, reducing the amount of water output of the boundary of IRAN and increasing water transfer to adjacent basins (Urmia Lake basin) are considered. In this model, water allocation is done based on consumption and resources priorities and groundwater table level constraints. In this research, the non-dominate sorting genetic algorithm is used for performing the developed model regarding the complexity and nonlinearity of the objectives and the decision variables. The optimal allocation of each water resources and water transfer to adjacent basin can be determined by using of proposed model. Optimal allocation policy presented based on optimal value and planning horizon. The results show that we can transfer considerable volume of water resources within the basin for restoration the outside basin and prevent the great flow of water by the border rivers applying the optimal operation policy.     

耦合流域-区域用水总量红线的供水优化模型及应用

为细化流域-区域耦合的用水总量指标及优化供水方式,基于流域用水总量红线与区域用水总量红线的共同约束,建立了耦合供给侧和需求侧用水总量红线的多水源多目标水资源系统供水优化模型,并应用于浏阳河-捞刀河流域,分析不同水源分配到不同行政区的最优供水方案以及最大供水量。现状年浏阳河-捞刀河流域存在一定的过度供水或供水不足;供水优化模型压缩了两流域平水年和丰水年的超红线供水,提高了枯水年和特枯年供水量;两流域规划特枯年比现状特枯年的缺水率降低了11.63%。这表明供水优化模型能较好地优化流域供水方式,确定不同频率年流域耦合区域的用水总量细化指标,相关成果可为用水总量控制的过程监管及超标预警提供有效技术支持。     

水库供水发电多目标优化调度模型及应用研究

提出了一种研究确定水库最优供水量的多目标水库优化调度数学模型,此模型以供水量最大和发电量最大为目标函数,考虑水量平衡、防洪、发电、航运及水库综合利用要求约束条件.提出一种交互式的求解方法对模型进行解算,此方法首先采用约束法,通过松驰供水量最大目标将多目标模型转换成多个单目标模型,在单目标模型中引入2个参数,用于调整模型的计算结果.对单目标模型,采用动态规划法求解,求得多目标模型的不劣解集.提出一个用于选择多目标最优解的决策偏好系数,对多目标模型的不劣解集进行对比分析,从而确定多目标模型的最优解.应用所提出的方法研究了广东省白盆珠水库的调度方案,提出了白盆珠水库的最优供水方案.     

Optimal Allocation of Resources for Increasing Farm Revenue under Hydrological Uncertainty

The formulation and application of two optimization models is presented in this study. The models were used to maximize the net farm revenue of an irrigated area located in northwest India by optimally allocating the available water and land resources. In order to moderate the rising water table issues, a ground water component was introduced in the model, while still ensuring optimal resources allocation. Results of the model indicates a reduction in barley, gram, mustard, and rice production area while at the same time an increase in sugarcane, millets, wheat, and cotton cultivation areas under optimal conditions. The ground water exploitation has increased in the model allocation, which consecutively moderated the rising water table problems. The model allocations has resulted in more than 31 % increase in net farm revenue. The proposed models can be employed as a dependable tool for making the decisions at local and regional levels and are capable of solving the rising water table issues of irrigated areas. The formulations proposed in this study are simple and can be employed anywhere for capitalizing on the farm revenue by moderating the water resources problems. The model constraints, though, be different considering the quality and quantity aspects of different water sources.

     

农业用水优化配置研究

我国是农业大国，农业用水量所占比重相当大。针对农业用水问题，在水资源量确定的情况下，建立多目标优化配置模型，并考虑经济、社会发展等多个目标，以水资源总量等为约束条件。对水资源配置方法、农业用水优化配置模型的建立和求解等作了介绍。计算例证表明，该配置模型合理可行。     

不确定性多目标模糊规划在水资源优化配置中的应用

在充分考虑水资源系统中供需水不确定性的基础上,基于多目标规划、模糊规划和区间规划原理,以经济效益、社会效益和环境效益最大为目标,以需水量、可供水量和不同子区用水部门间的用水公平性为主要约束,构建一种适用于多水源、多子区、多用户的考虑供需水不确定性的多目标模糊规划模型,以期通过平衡水资源配置系统中用户配置水量、缺水风险与系统收益三者的关系,实现系统综合效益最大。模型以衡水市历年供水、用水及社会经济等数据确定规划年的水资源参数及经济参数,采用区间参数反映系统中的不确定性,通过引入模糊隶属度函数,利用两步交互式算法,将多目标规划转化为单目标规划进行求解,以2025年为衡水市规划水平年,得到规划水平年下的11个子区、4种水源、4个用水行业的最优配水方案。结果表明：本研究制定的水资源优化配置方案可实现“外调水优先利用、地下水控制利用”,同时考虑用水的公平性约束后,在缺水条件下可有效控制水资源向每立方米水效益高的区域和部门流动,有利于多区域、多部门共担缺水风险;该水资源优化配置方案可有效缓解衡水市水资源供需矛盾,实现多水源和多目标之间的协同互补。研究成果可为河北省其他县域的水资源优化配置提供技术参...     

面向总量控制的流域水量动态优化分配方法

为了根据来水情形确定年度用水总量控制指标并对水量分配过程进行合理控制,提出了面向总量控制的水量动态优化分配方法。以抚河流域为研究对象,构建了以流域余留期缺水量最小为目标,综合考虑用水区水量需求、控制断面流量要求等约束的水量优化模型,通过“预报-决策-执行-更新”的动态运行方式实现了用水总量控制指标的实时调整。结果表明:在年内水资源由丰转枯时,各用水区的缺水率较传统调度下降了3.8%~25.3%;当年内水资源由枯转丰时,各分区余留期用水量始终控制在余留期总量控制指标之内。本方法得到的年度用水总量控制指标能有效地适应年内不同来水情况,并能根据不同来水条件对供水行为进行激励或约束。     

基于图论的城市河网水系连通方案优选——以清潩河许昌段为例

对于复杂河网水系来说,水系连通方案的选择决定了河道是否有效连通以及各种功能能否得以保障。为了优选最佳水系连通方案,本文以清潩河许昌段为研究对象,借助图论法构建了城市水系河网图模型;考虑多闸联合调度以及各节点水量平衡关系,并利用图模型的邻接矩阵和加权邻接矩阵来描述河网水系对水量的分配作用,进而计算整个河网水系各河段和节点的流量值;以水生态景观面积最大为优选目标,结合河网水量分配关系和水力约束建立了多闸联合调度下的水系连通方案优选模型,优选得到在不同工况下的清潩河许昌段最佳水系连通方案。结果显示,在多数连通方案下河网流量可能会超出流量限值,而优选方案下的河网流量不仅可以满足流量约束、保障河网功能需求,还可有效提高水生态景观面积。     

基于RBF代理模型的调水过程优化研究

调蓄工程通过泵站调水过程中,需要通过合理的控制泵站启闭时间来调节水位,从而不断优化调水过程,但以往的优化方法效率低而且不易得到最优方案。为解决这一问题,本文以南水北调东线山东段南四湖下级湖为研究对象,基于径向基函数(Radial Basis Function,RBF)代理模型建立调水过程优化模型,得到了调水过程方案参数区间内的最优方案,并基于实际调水情况求得不同起调水位下的调水过程最优方案。首先根据调水过程方案参数区间自动选取80个调水过程方案样本,并利用一维二维耦合水动力模型算出每个方案的水位变化过程;其次采用RBF代理模型建立并验证调水过程方案与最高水位、最低水位的响应关系;最后基于RBF代理模型,以泵站工作总时间最短为目标,考虑水量平衡和水位约束建立优化模型,采用粒子群算法求解。研究结果表明,基于RBF代理模型的调水过程最优方案结果与耦合模型计算该方案结果的绝对水深误差不超过0.05 m,相对水深误差不超过0.99%,模型计算精度高。基于RBF代理模型的调水过程优化模型,求解得到调水过程参数区间内的最优方案,解决了传统方法在人为设定有限个方案内得到较优方案的局限性。     

New Methodology for Optimal Operation of Soil Aquifer Treatment Systems

A new methodology is presented in thisarticle for computing the optimal operation of soilaquifer treatment systems. The mathematical problemis stated as a discrete-time optimal control problemto maximize infiltration subject to various physicaland operation constraints. The methodology is basedupon solving the discrete-time optimal control problemusing a successive approximation linear quadraticregulator interfaced with a simulator. Theunsaturated flow model HYDRUS is modified to simulatethe water content distribution, the infiltrationprocess, and the draining process. A penalty functionmethod is used to treat the bound constraints on thewater content and the cycle time. Sample problems aregiven to illustrate the capability of the model tosolve the optimal operation of soil aquifer treatment systems.     

A Novel Optimization Method for Multi-Reservoir Operation Policy Derivation in Complex Inter-Basin Water Transfer System

Joint operation of multiple reservoir system in inter-basin water transfer-supply project is a complex problem because of the complicated structure and cooperated operation policy. The combination of high-dimensional, multi-peak and multiple constraints makes it incredibly difficult to obtain the optimal rule curves for multi-reservoir operation. In view of this, we constructed a joint optimization operation model, considering both water supply and transfer, and proposed the concept of “shape constraints”. To obtain the solution of this high-dimensional optimization model, a novel progressive optimum seeking method, namely Progressive Reservoir Algorithm-Particle Swarm Optimization (PRA-PSO), is presented based on the nature of progressive optimization algorithm (POA) and standard particle swarm optimization (PSO). The water transfer project in northeast China, consisting of three routes eight reservoirs, is selected as a case study. The results show that (1) PRA-PSO is yielding much more promising results when compared with other optimization techniques; (2) shape constraints would narrow the scope of feasible solution area but increase the convergence of algorithm; (3) because of the strong interaction between water transfer and water supply action, the progressive setting of PRA-PSO should be in accordance with the order of reservoir water transfer. The case study indicates the novel optimization method could effectively increase the chance of jumping out of local optimal points, thereby searching for better solutions.     

THE OPTIMAL DESIGN BASED ON RELIABILITY OF WATER DISTRIBUTION SYSTEM BY LINEAR MODEL

In this paper, a new technique are developed for optimal design of water distribution system besed on reliability. It applies a linear programming algorithm to the optimal design based on reliability. Within a small optimal search step range,the objective function and constraints can be expressed in the first order Taylor-expanding form,and three sub-models (a steady-state simulation model, a reliability model and a linear optimization model) are linked each in optimal searches. Thus, a traditional non linear problem can be solved by a linear model, the computing burden is significantly decreased. Therefore, the linear optimal model developed by the paper has more practical significance.     

Integrating economic and hydrologic interdependence in reservoir management

The purpose of this study is to determine the optimal allocation of reservoir water among competing uses (hydroelectric power generation, lake recreation and urban and rural water supply). An optimization model using nonlinear programming is developed to optimally allocate reservoir water among these uses. It is not unusual to optimize the values for flood control, hydroelectric generation, and urban and rural water uses, and to determine recreation values as a residual. Furthermore, if recreation values are considered, it may be in the form of constraints that maintain reservoir water levels within a specified range. In contrast, this study develops a model in which the recreational benefits depend explicitly on lake water levels, while the flood control capacity of the reservoir is maintained through upper bounds on the lake level. A mass balance equation is used to determine the water levels and volumes in the lake for each month over a twelve‐month period. The General Algebraic Modeling System with MINOS is used to solve this model. The results indicate that the total economic benefits for Lake Tenkiller could be increased by directly including recreational values in the model, and maintaining lake water levels at near‐normal levels that maximize the number of summer visitations. The optimal allocation of Lake Tenkiller water among competing uses also satisfies the equimarginal principle. That is, the marginal value of water at the lake in each month is the same for the last unit of water used for hydroelectric, recreational, or urban and rural water uses. Use of this type of modelling framework would assist policymakers or reservoir managers in reallocation of reservoir water and in calibrating several policy scenarios.     

Multi-Objective Optimal Model for Conjunctive Use Management Using SGAs and NSGA-II Models

The widespread investigations on water resources management has become an essential issue because due to lack of sufficient research and inattention to planning and management of conjunctive use of surface and groundwater. The conjunctive management is a suitable alternative for imbalanced water resources distribution and related constraints in using of surface water. In this paper, a multi-objective model is developed to maximize the minimum reliability of system as well as minimize the costs due to water supply, aquifer reclamation and violation of the reservoir capacity in operation and allocation priority. The non-dominated sorting genetic algorithm (NSGA-II) is used to present the optimal trade-off between the objectives. The sequential genetic algorithms is also applied (SGA) in order to be compared with the NSGA-II model. The results show that the NSGA-II model can considerably reduce the computation burden of the conjunctive use models in comparison with the SGA optimization model. The obtained trade-off curve shows that a little increase in reliability leads to much more system costs. The weighted single objective SGA model results verify optimal trade-off obtained from NSGA-II model and show the optimality of allocated discharges.     

基于改进遗传算法的生态友好型水库调度

以锦屏梯级水库为案例,从系统工程论的角度出发,将梯级水库作为物理系统,以年发电量为目标函数,建立了梯级水库调度优化模型。为减少水库调度对河道生态系统的影响,在鱼类栖息地模拟的研究基础上,引入目标物种的生态需水过程对调度模型进行动态约束,并采用改进的遗传算法进行求解。研究得到了满足目标鱼类生态需水条件下发电量最大的梯级水库调度策略,并对生态流量满足程度与工程效益损失之间的定量响应关系进行了研究,提出了折中方案选择的基本原则。     

Economic Sharing of Basin Water Resources between Competing Stakeholders

This paper describes an application of linear programming (LP) methods for optimal allocation of water among competing stakeholders that would achieve the highest economic return from water use in the agricultural section of the Sefidrud Basin, northern Iran. In a network presentation of the basin, the nodes stand for the supply and demand points and arcs represent reaches. The constraints of the LP model are the network structure of the basin (flows, stream geography and channel capacity), the available surface and ground water in each node, the environmental demand in different reaches, upper and lower bands of supply in each node and water balances. Optimal policies are derived for current and future demand. The optimal policies indicate that, at present, the basin water resources satisfy the demands of all stakeholders. Although, the results show that there is no conflict for supplying stakeholders’ current demands, they indicate that the current proportion of surface water used is not optimal compared with the proportion of ground water used. The results also indicate that some future demands of provinces with lower marginal value of water are unsatisfied and that this could cause conflict between stakeholders. Since in some nodes the optimal solutions suggest using surface water even where they have available ground water, they are categorized as having a higher possibility to construct dams in the basin.     

基于多断面水质达标的河网区点面源污染负荷优化分配模型

从污染物总量控制的核心——污染负荷分配的角度出发,对水系复杂的平原河网区点面源协同影响下污染负荷优化分配方案进行分析。通过引入水质达标保证率概念,将随机分析方法与确定性降雨产流、点面源产污及河网水动力、水质数学模型相结合,基于公平及可行性原则,以满足多控制断面水质达标保证率、点面源环境管控要求及污染治理水平为约束条件,构建了基于多控制断面水质达标保证率的点面源污染负荷优化分配模型。选取太湖某河网区域作为验证区域,区域点面源污染负荷优化分配后,各控制断面氨氮、总磷质量浓度均可达到全年90%水质达标保证率,表明所建模型是合理可行的,能够有效实现区域点面源污染负荷的优化分配,提高区域污染物全局管理效率。