Assessment of parameters of groundwater models using artificial neural networks
https://doi.org/10.26897/1997-6011-2024-4-108-114
Abstract
The paper investigates the possibility of solving the inverse problem using artificial neural networks. To demonstrate the approach, an example is considered consisting of an analytical model of the transfer of pollutants from a point source to a stationary flow field. The model was used to model the behavior of groundwater systems at different values of the dispersion coefficient. Next, a set of controlled multilayer neural networks of direct propagation was trained to evaluate, determine, and select a parameter corresponding to given concentration histories. The results obtained in the work showed satisfactory accuracy of neural network estimates, which confirms the stability of the approach to data analysis in field experiments. When training four artificial neural networks of a controlled, multilayer and direct type, it was found that each of them specialized in a wide range of values. This led to more accurate predictions compared to the case of training a single network over the entire range of values. In addition, the paper shows the ability of a neural network to identify the dispersion parameter at a given concentration under the influence of “noise”. An analysis of the topologies of the applied neural networks has established that the presence of 10 hidden nodes is sufficient to ensure a satisfactory level of calculation accuracy.
About the Authors
T. А. ShatashviliRussian Federation
Tamara A. Shatashvili, CSc (Phys-math), associate professor
283048, Donetsk, st. Shchorsa, 31
M. Yu. Badekin
Russian Federation
Maxim Yu. Badekin, senior lecturer
Author ID: 201633
283001, Donetsk, st. Universitetskaya, 24
D. M. Benin
Russian Federation
Dmitry M. Benin, CSc (Eng), associate professor; Director of the A.N. Kostyakov Institute of Land Reclamation, Water Management and Construction
Author ID: 708496
127434, Moscow, str. Timiryazevskaya, 49
N. N. Ivakhnenko
Russian Federation
Natalya N. Ivakhnenko, CSc (Phys-math), associate professor
Author ID: 836861
127434, Moscow, str. Timiryazevskaya, 49
N. A. Konoplin
Russian Federation
Nikolai A. Konoplin, CSc (Phys-math), associate professor
Author ID: 580233
127434, Moscow, str. Timiryazevskaya, 49
References
1. Troyansky M.S. Computer modeling of underground water filtration // Statistics and economics. 2012. No. 3. P. 175-178.
2. Chikin A.L., Kulygin V.V., Chikina L.G. Modeling of fluctuating water levels in the Don delta according to forecasts of the wind situation // Bulletin of the South-Ural State University. Series: Mathematical modeling and programming. 2023. Vol. 16. No. 3. P. 83-92.
3. Hamid Vahdat-Aboueshagh, Frank T. – C. Tsai, Dependra Bhatta, Krishna P. Paudel. Irrigation-Intensive Groundwater Modeling of Complex Aquifer Systems Through Integration of Big Geological Data // Frontiers in Water. 2021. Vol. 3. P. 623476.
4. Urmanov D.I., Manevich A.I., Losev I.V. Geoinformation modeling of the stress-strain state of the geological environment to ensure safe underground isolation of highly active radioactive waste // Geoinformation mapping in the regions of Russia. 2020. P. 243-246.
5. Tsyplakov A.A. Introduction to modeling in solid space // Quantil. 2011. Vol. 9. P. 1-24.
6. Atangana A. (2018). Fractional Operators and Their Applications. Fractional Operators with Constant and Variable Order with Application to Geo-Hydrology, 79-112. doi:10.1016/b978-0-12-809670-3.00005-9
7. Shatashvili T.A., Badekin M.Yu., Ivakhnenko N.N., Konoplin N.A. Prediction of the “Turbidity” parameter at the outlet of sand filters supplied with wastewater // Prirodoobustrojstvo. 2023. No. 5. P. 60-65. DOI 10.26897/1997-6011-2023-5-60-65.
8. Shatashvili A.D., Papazova E.N., Fomina-Shatashvili T.A., Ivakhnenko N.N. Some linear equivalent transformations of Gaussian random fields in the n -dimensional Euclidean space Rn part II: on the equivalence of two Gaussian measures generated by the solutions of two different Dirichlet-Neumann boundary value problems in the Euclidean space Rn // Bulletin of the Luhansk State University named after Vladimir Dahl. 2022. V. 59. No. 5. P. 250-261.
9. Lyasheva S.A., Shleymovich M.P., Kirpichnikov A.P., Leonova I.V. Neuronet forecasting of thermodynamic characteristics of individual substances // Bulletin of Kazan Technological University. 2017. Vol. 20. No. 18. P. 111-114.
10. Abrosimov M.A., Brovko A.V. A method of learning convolution layers in an artificial neural network using a constrained Boltzmann machine // Bulletin of the Saratov State Technical University. 2015. Vol. 3. No. 1 (80). P. 114-117.
Review
For citations:
Shatashvili T.А., Badekin M.Yu., Benin D.M., Ivakhnenko N.N., Konoplin N.A. Assessment of parameters of groundwater models using artificial neural networks. Prirodoobustrojstvo. 2024;(4):108-114. (In Russ.) https://doi.org/10.26897/1997-6011-2024-4-108-114