Understanding the mechanisms governing groundwater level variations is of considerable scientific importance for analysing the formation and development of hydrogeological systems. The movement of groundwater represents a complex hydrodynamic process influenced by both natural conditions and anthropogenic factors. Determining its spatial and temporal behaviour is therefore essential for the rational utilisation of water resources and the efficient management of reclamation and drainage systems. In this context, the present study focuses on the mathematical modelling of groundwater level dynamics. Within the framework of the research, a mathematical model describing the temporal evolution of groundwater levels along the OX spatial direction has been developed. The model is formulated on the basis of a differential equation representing the filtration process and is supplemented with appropriate initial and boundary conditions. To obtain an analytical solution, the Fourier series method is employed. As a result, the general solution describing groundwater level variations as a function of spatial coordinate and time is derived in the form of a series consisting of trigonometric functions multiplied by exponential terms. The obtained analytical representation makes it possible to investigate the distribution patterns of groundwater levels along the OX direction and to analyse the stabilisation behaviour of hydrodynamic processes over time. The modelling results indicate that the filtration coefficient, hydraulic gradient, physical properties of the porous medium, and geometric parameters of the aquifer layer act as the principal factors governing groundwater dynamics. The proposed mathematical approach can be applied to the theoretical analysis of groundwater level variations, to the investigation of hydrogeological system evolution, and to the prediction of water resource conditions. The scientific novelty of the study lies in deriving an analytical solution for groundwater dynamics through one-dimensional mathematical modelling and in identifying the fundamental regularities of hydrogeological processes.
| Mualliflar | Daliev, Sherzod |
|---|---|
| Jurnal | Techscience.uz - техника фанлари долзарб масалалри |
| Nashr sanasi | 2026-03-25 |
| Jild | 4 |
| Son | 3 |
| Betlar | 45-52 |
| Til | O‘zbek |
| DOI | 10.47390/ts-v4i3y2026n06 |
DOI: 10.47390/ts-v4i3y2026n06 · Maqolaning asl sahifasi
groundwater, groundwater level dynamics, mathematical modelling, filtration process, analytical solution., sizot suvlari, yer osti suvlari sathi, matematik modellashtirish, filtratsiya jarayoni, analitik yechim.
The article analyzes the importance of foresight technology in probabilistic risk assessment within industrial and organizational systems. Foresight technology is considered a modern scientific and analytical approach…
This narrative review synthesizes 20 peer-reviewed and grey-literature sources (2020–March 2026) to chronicle multimodal AI’s evolution in vision assistance and neural restoration. From foundational vision-language…
This article presents a scientific and methodological analysis of improving the quality management methodology for textile products based on the international 4-point assessment system. The key criteria of the…
This article analyzes the scientific basis for creating a continuous speech recognition system based on artificial intelligence for the Uzbek language. The study systematically summarizes the stages of corpus formation…
This paper analyzes the main sources of dust generation in industrial enterprises and the aerodynamic properties of dust particles. Dust formation is mainly associated with mechanical dispersion, physicochemical phase…
This article analyzes the prospects for applying artificial intelligence (AI) technologies to further develop the tax administration system in Uzbekistan. In the context of digitalization, it examines the possibilities…
This article analyzes approaches to using statistical methods in the analysis of experimental measurement results, including the identification, assessment, and elimination of errors. It covers the concepts of…
This article addresses the development of a remote cardiovascular disease monitoring system integrated with Natural Language Processing (NLP) technologies. Based on a systematic literature review and comparative…
Mazkur maqolada bulutli hisoblash tizimlarida ma’lumotlar xavfsizligini ta’minlash maqsadida gibrid kriptografik algoritm ishlab chiqish va uning samaradorligini baholash masalasi ko‘rib chiqilgan.Tadqiqot davomida AES…
This paper presents a system for analyzing emergency medical calls using artificial intelligence technologies for dispatch services. The system is based on a Whisper-Small model fine-tuned on datasets FeruzaSpeech and…
Techscience.uz - техника фанлари долзарб масалалри — barcha maqolalar