Combined system of extreme control of mineralized water dilution in river basins

P. Kovalchuk, O. Demchuk, V. Kovalchuk, Н. A. Balykhina
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Abstract

The theory of combined systems of extreme control, which is used in technical systems, was developed and adapted in socio-ecological-economic systems. For example, river basins are such systems. A combined extreme control system has been formalized to control the dilution of mineralized mine waters in river sections. A mathematical model of the distribution of water masses and pollution in river beds from point and diffuse sources is proposed on the basis of a system of difference balance equations under the influence of stochastic uncontrolled disturbances. With regard to such conditions as adequate instrumentation, a combined control system has been developed that uses decision-making according to environmental and economic criteria based on the analysis of input and output data simultaneously, identification and tracking of the optimum in conditions of displacement under the influence of the disturbances of extreme characteristics of the system. The structural and functional diagram is represented by the open-loop diagram, the identification of which is carried out on the basis of modeling the process of water dilution in various situations at a specific object. A closed part with a recognition system as a corrector provides feedback. Formalized mathematical models of the dynamics of water masses and pollution from point and diffuse sources are of a general nature and can be used for the basins of other rivers. The extreme control system can adapt to the hydrological conditions and water quality parameters of a particular river. A mathematical model has been formalized for the combined extreme control of mine water dilution in the section of the Ingulets river. The water for dilution comes from a storage pond in the Svystunov gully. Regulatory actions that maintain water quality without exceeding the normative values ​​of maximum permissible discharge are determined. At the same time, water consumption for dilution is minimized. The scenario analysis of the options showed a saving of up to 30% of water resources, namely 17.5 million m3, compared to the dilution carried out in February-March 2021 according to the existing individual regulations.
河流流域矿化水稀释极端控制组合系统
在技术系统中使用的极端控制组合系统理论,在社会-生态-经济系统中得到了发展和适应。例如,河流流域就是这样的系统。提出了一种控制河段矿化水稀释的组合极值控制系统。在随机不可控扰动影响下,基于差分平衡方程组,建立了点源和扩散源下河床水质和污染分布的数学模型。在仪表充足的条件下,开发了一种组合控制系统,根据同时分析输入和输出数据的环境和经济标准进行决策,在系统极端特性干扰的影响下,识别和跟踪位移条件下的最佳状态。结构和功能图用开环图表示,在对特定对象的各种情况下的水稀释过程建模的基础上进行结构和功能图的识别。一个封闭的部分与识别系统作为校正提供反馈。点源和扩散源的水团和污染动力学的形式化数学模型具有一般性质,可用于其他河流的流域。极端控制系统能够适应特定河流的水文条件和水质参数。建立了英格莱特河段矿井水稀释联合极值控制的数学模型。用于稀释的水来自斯维斯托诺夫沟的一个蓄水池。确定了维持水质而不超过最大允许排放量的规范值的监管行动。同时,用于稀释的水消耗被最小化。对方案的情景分析显示,与2021年2月至3月根据现有个别法规进行的稀释相比,可节省高达30%的水资源,即1750万立方米。
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