A preliminary model for optimal control of moisture content in unsaturated soils

IF 2.1 3区地球科学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computational Geosciences Pub Date : 2023-10-09 DOI:10.1007/s10596-023-10250-1

Marco Berardi, Fabio V. Difonzo, Roberto Guglielmi

引用次数: 1

Abstract

Abstract In this paper we introduce an optimal control approach to Richards’ equation in an irrigation framework, aimed at minimizing water consumption while maximizing root water uptake. We first describe the physics of the nonlinear model under consideration, and then develop the first-order necessary optimality conditions of the associated boundary control problem. We show that our model provides a promising framework to support optimized irrigation strategies, thus facing water scarcity in irrigation. The characterization of the optimal control in terms of a suitable relation with the adjoint state of the optimality conditions is then used to develop numerical simulations on different hydrological settings, that support the analytical findings of the paper.

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非饱和土含水率优化控制的初步模型

本文介绍了灌溉框架中Richards方程的最优控制方法，旨在最大限度地减少水分消耗，同时最大限度地提高根系水分吸收。我们首先描述了所考虑的非线性模型的物理性质，然后给出了相关边界控制问题的一阶必要最优性条件。我们表明，我们的模型提供了一个有希望的框架来支持优化灌溉策略，从而面对灌溉中的水资源短缺。根据与最优性条件的伴随状态的适当关系来描述最优控制，然后用于开发不同水文设置的数值模拟，以支持本文的分析结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Geosciences 地学-地球科学综合

CiteScore

6.10

自引率

4.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Computational Geosciences publishes high quality papers on mathematical modeling, simulation, numerical analysis, and other computational aspects of the geosciences. In particular the journal is focused on advanced numerical methods for the simulation of subsurface flow and transport, and associated aspects such as discretization, gridding, upscaling, optimization, data assimilation, uncertainty assessment, and high performance parallel and grid computing. Papers treating similar topics but with applications to other fields in the geosciences, such as geomechanics, geophysics, oceanography, or meteorology, will also be considered. The journal provides a platform for interaction and multidisciplinary collaboration among diverse scientific groups, from both academia and industry, which share an interest in developing mathematical models and efficient algorithms for solving them, such as mathematicians, engineers, chemists, physicists, and geoscientists.