Hydraulic Engineering Research Articles

Enhanced Risk-Based Quality Control for Hydraulic Engineering Construction Projects Considering the Risk-Influencing Mechanism

Enhanced Risk-Based Quality Control for Hydraulic Engineering Construction Projects Considering the Risk-Influencing Mechanism

Effect of the Shear Band on Water Migration in the Interface Between Lean Clay and an Engineering Structure: A Case Study of Loess-like Soil in Changchun Area, China

The entire deformation and overturning of numerous engineering structures commence from the failure of the interface between engineering structures and environmental soils, and the shear band formed by such failure results in variations in the water transfer law within the soil. In this study, a direct shear test was carried out to analyze the alterations in dry density of the soil both inside and outside the shear band before and after the disruption of the interface between lean clay and structure bodies, and the effect of the shear band on water migration in lean clay in the interface area under different shear displacements and normal stress values was examined. A numerical model of water transfer in lean clay with the shear band was constructed to predict the soil water distribution in the interfacial band across various temporal and spatial conditions. The results indicated that the existence of the shear band in the interface delayed the water migration; shear displacement and normal stress substantially affected the rate of water migration and volumetric water content in the interface region. The established water migration model could effectively simulate the migration patterns of water in the interface region and model the entire process of changes in free water in the soil under different spatial and temporal conditions. The research findings can provide a reference for the evaluation of structural permeability stability in hydraulic engineering.

Large-Eddy Simulation of Droplet Deformation and Fragmentation Under Shock Wave Impact

This study employs the large-eddy simulation (LES) approach, together with the hybrid volume of fluid—discrete phase model, to examine the deformation and breakup of a water droplet impacted by a traveling shock wave. The research investigates the influence of Weber number on transient deformation and breakup characteristics. Particular focus is given to the detailed analysis of sub-droplet-size distributions, which are frequently overlooked in existing studies, providing a novel insight into droplet fragmentation dynamics. The predicted deformation and breakup patterns of droplets in the shear breakup regime align well with experimental data, validating the computational approach. Notably, LES is able to reproduce the underlying physical mechanisms, highlighting the significant role of recirculation zones and the progression of Kelvin–Helmholtz instabilities in droplet breakup. Additionally, it is shown that higher Mach numbers significantly amplify both cross-stream and streamwise deformations, leading to earlier breakup at higher airflow pressures. Increasing the Weber number from 205 to 7000 results in 25% reduction in the average size of the sub-droplets, indicating the strong influence of aerodynamic forces on droplet fragmentation. This comprehensive analysis, while aligning with experimental observations, also provides new insights into the complex dynamics of droplet breakup under post-shock conditions, highlighting the robustness and applicability of the proposed hybrid Eulerian–Lagrangian formulation for such advanced applications in fluid engineering.

Research on Concrete Crack Detection in Hydropower Station Burial Engineering Based on Quantum Particle Technology

Cracking in hydraulic buried engineering can cause localized damage or complete structural failure, potentially resulting in catastrophic project outcomes. Traditional methods for detecting cracks in hydraulic concrete buried engineering are often insufficient in terms of reliability and accuracy. With the development and application of particle-based technology, it has been widely used in the field of crack detection. This research investigates the support pier of the Yingxiuwan Hydropower Plant and the lock pier of the Yuzixi Hydropower Plant. Employing principles from quantum physics, quantum particle non-destructive detection technology is introduced to identify crack locations. A three-dimensional simulation model is constructed and verified accurately through integration with CT scanning techniques. The results demonstrate that particle detection technology effectively detects cracks in hydraulic concrete buried engineering, exhibiting minimal susceptibility to external interference. The particle detection data enable 3D visualization of cracks, accurately reflecting the conditions within embedded concrete components. This method provides a reliable and advanced technical solution for precise crack detection in concrete-embedded engineering and offers critical data for exploring crack propagation mechanisms.

Energy Dissipation on Inclined Stepped Spillways

Stepped spillways, as highly effective energy dissipation facilities, have been widely applied in hydraulic engineering. By introducing an inclination angle to the horizontal step surface, either energy dissipation efficiency or sediment transport capacity can be enhanced. The manner and size of vortices within the steps vary with changes in the inclination angle and spillway slope, enhancing energy dissipation through momentum exchange between the main flow and these vortices. This study, drawing upon data in the literature and numerical simulations, investigates the influence of a spillway slope and step inclination angle on the energy dissipation characteristics of inclined stepped spillways. Results indicate that the energy dissipation rate decreases with an increasing spillway slope while increasing with a greater upward inclination of the step’s horizontal surface. However, changes in both parameters show a limiting effect on vortex development. As the spillway slope decreases and the step inclination angle increases, the rate of vortex size expansion diminishes. Finally, an inclination/slope ratio is proposed to characterize the energy dissipation effect of inclined steps, and an empirical formula relating the energy dissipation rate to the relative critical depth, relative spillway height, and inclination/slope ratio is established, with errors controlled within 10%.

The Optimization of the Rear Guide Vane of a Bulb Tubular Pump Based on Orthogonal Tests

Bulb tubular pumps have been widely used in hydraulic engineering because of their compact structure, easy maintenance, high adaptability, and other characteristics. In this paper, the performance optimization of the bulb tubular pump in the South-to-North water diversion project is studied, as well as the influence of the design of the rear guide vane structure on the hydraulic efficiency of the pump. This study takes a certain type of bulb tubular pump as its research object, optimizing the rear guide vane. Firstly, the accuracy of the numerical simulation method is verified using grid convergence analysis and model experimentation. The orthogonal experimental design method is used to optimize the design, and the range analysis results show that the blade wrap angle has the most significant influence on the hydraulic efficiency and head. Finally, the optimization results under a 0° impeller setting angle were verified by numerical analysis, and the hydraulic efficiency of the optimized pump was increased by 0.7%, 0.88%, and 1.1% under low flow, design flow, and high flow, respectively. By introducing entropy generation theory for inflow analysis, the reduction in energy loss in the pump is proven, thus verifying the effectiveness of the optimization. Through the optimization, the separation fluid phenomenon on the guide vane surface is improved, the vortex scale is reduced, and the flow field in the pump is improved to a certain extent.

Systematic numerical analysis of the hydraulic parameters responsible for critical flows in anthropogenically modified mountain channels for flood analysis and mitigation

AbstractThe damage potential in river systems due to flood flows has increased as a result of the increased infrastructure and population growth along river corridors, frequently accompanied by an incomplete understanding of flood safety and the impact of climate change. In particular, so‐called catastrophic flood events in alpine areas are generally accompanied by massive channel beds and floodplain erosion with a higher damage potential than inundation only. It has been recently shown that critical flow conditions might be an important driver of uncontrolled erosion and channel avulsion in terms of extraordinary flood events. A systematic analysis, however, of the parameters driving critical flow conditions is lacking. Thus, the aim of this study was to conduct a systematic numerical evaluation of the hydraulic parameters responsible for critical flows in steep mountain channels as a baseline study for future improved flood impact assessment and mitigation measure design. The systematic analysis of standardized river bathymetries revealed that channel slope, roughness and river widening impose decreasing influences on alpine rivers to produce critical flow conditions. However, there is a risk that due to human interventions, altering the natural slope–roughness relationship to increase the discharge capacity for flood safety might promote critical conditions. These findings should be considered in future hydraulic engineering practice.

Ecosystem assessment of semi-natural tidal flat in the Yangtze estuary by pressure-state-response model and fuzzy comprehensive evaluation method

With the development of hydraulic engineering such as harbor, channel and reclamation, more and more natural tidal flat turn into the semi-natural tidal flat (SNTF). How to evaluate ecosystem of semi-natural tidal flat is a scientific problem that has not been fully solved. The study tries to assess ecosystem health change of SNTF adjoining Hengsha East Shoal training dike in the Yangtze estuary. The study found SNTF area > 0m isobaths increased from 30.33 km2 in 2010–2014 to 46.66 km2 in 2014–2017 and to 56.84 km2 in 2017–2020, and the Hengsha Shoal region.0m, -2m and -5m isobaths increased from 174.78 km2, 303.82 km2, and 556.77 km2 in 2010–2014 to 233.34 km2, 365.59 km2, and 596.83 km2 in 2014–2017 and to 243.81 km2, 363.27 km2 and 567.45 km2 in 2017–2020. Using database of 3 pressure indicators, 16 state indicators and 3 response indicators, the study combined pressure-state-response (PSR) model and fuzzy comprehensive evaluation (FCE), constructed a systematic evaluation method of ecosystem health of semi-natural tidal flat. The evaluation result found the ecosystem health of SNTF of Hengsha East Shoal was rated as "Fair" level during 2010–2020, and the summation of comprehensive evaluation index (CEI) increased from 0.4009 in 2010–2014 to 0.4703 in 2014–2017 due to the rapid expansion of tidal flat vegetation, and then decreased to 0.4450 in 2017–2020 due to a reduction in vegetation area caused by erosion. The area of salt marsh vegetation plays an important role in the health of wetland ecosystems. The Hengsha East Shoal ecosystem is undergoing a quickly dynamic evolution processes, long-term series monitoring and further research for this area are necessary to guide its future development according to the tidal flat utilization patterns.

Turbulent Flow Through Sluice Gate and Weir Using Smoothed Particle Hydrodynamics: Evaluation of Turbulence Models, Boundary Conditions, and 3D Effects

Understanding flow dynamics around hydraulic structures is essential for optimizing water management systems and predicting flow behavior in real-world applications. In this study, we simulate a 3D flow control system featuring a sluice gate and a weir, commonly used in hydraulic engineering. The focus is on accurately incorporating modified dynamic boundary conditions (mDBCs) and viscosity treatment to improve the simulation of complex, turbulent flows. We assess the performance of the Smoothed Particle Hydrodynamics (SPH) method in handling these challenging conditions. Especially when the boundary conditions and applicability to industry are two of the SPH method’s grand challenges. Simulations were conducted on a Graphics Processing Unit (GPU) using the DualSPHysics code. The results were compared to theoretical predictions and experimental data found in the literature. Key hydraulic characteristics, including 3D flow effects, hydraulic jump formation, and turbulent behavior, are examined. The combination of mDBCs with the Laminar plus sub-particle scale turbulence model achieved the correct simulation results. The findings demonstrate agreement between simulations, theoretical predictions, and experimental results. This work provides a reliable framework for analyzing turbulent flows in hydraulic structures and can be used as reference data or a prototype for larger-scale simulations in both research and engineering design, particularly in contexts requiring robust and precise flow control and/or environmental management.

Abrasion resistant characteristics of UHPC based on high-speed underwater method: Efficiency, process, evaluation, and mechanisms

Abrasion damage is a major cause of reduced service life in hydraulic structures such as bridge piers, dams, and hydroelectric stations. Ultra-High-Performance Concrete (UHPC) exhibits excellent erosion resistance and has great potential for application in hydraulic engineering. However, the ASTM C1138 operates at a rotational speed of 1200 RPM, resulting in low testing efficiency and prolonged duration, making it unsuitable for evaluating the abrasion resistance of UHPC. In this study, a high-speed underwater method with a rotational speed of 4800 RPM was utilized to test the abrasion resistance of UHPC. The wear characteristics of UHPC under high-speed water flow conditions were investigated using a 3D visualization quantitative method. Additionally, the abrasion mechanism of UHPC was analyzed using nanoindentation testing, SEM, and MIP techniques. The results show that the efficiency of the high-speed underwater method is 5.6 to 14.5 times higher than that of the traditional underwater method, allowing for rapid simulation of the long-term abrasion process and evolution of UHPC. Under high-speed water flow impact, UHPC undergoes a process that includes surface paste erosion, gradual rupture of voids, detachment of aggregates and matrix, and the interconnection of wear pits. The wear rate is a relatively accurate indicator of UHPC's abrasion resistance, while volume loss is more suitable for evaluating the abrasion resistance of steel fiber-reinforced UHPC. The 3D visualization quantitative method is an effective tool for analyzing wear distribution patterns. The abrasion resistance of UHPC is negatively correlated with ITZ thickness and porosity.

ANALYSIS OF PERINATAL CONSEQUENCES IN PUERPERAS WHO CHOOSE AN ALTERNATIVE APPROACH TO DELIVERY

Introduction: “Non-traditional” approaches to deliveries today are one of the main new concepts of patient orientation in modern obstetrics, aimed at improving the delivery and postpartum period course and gaining a positive delivery experience. Aim: To estimate the perinatal consequences and determine the psycho-emotional state of puerperal after the application of hydro technology during delivery. Materials and methods: 150 puerperas and their newborns were examined, who, depending on the chosen delivery tactics, were divided into: the main group (MG) – 53 women who gave birth using hydro-technology in the first and second periods of labor; comparison group (CompG) – 27 women who gave birth using hydro-technology only in the first period of labor; the control group (CG) – 70 women who gave birth according to generally accepted standards. In addition, the psycho-emotional state of all puerperas was examined on the 2nd–4th day of the postpartum period using questionnaires “Women’s Satisfaction with Deliveries” and “Edinburgh Scale of Postpartum Depression.” Results: There were no differences in the number of newborns weighing more than 4,000 g (MG – 8 (15.1 %), CompG – 4 (14.8 %), CG – 11 (15.7 %), p>0.05) against the background of significantly lower number of birth canal traumatic injury cases in MG puerperas (rupture of the vagina and cervix: MG – 2 (4.0 %) and 1 (2.0 %) respectively, CompG – 3 (12.0 %) and 2 (8.0 %) respectively, CG – 12 (24.0 %) and 5 (10.0 %) respectively, p<0.05). There were no significant differences in the number of newborns assessed in the first (MG – 4 (7.5 %), CompG – 4 (14.8 %), CG – 10 (14.2 %), p>0.05) and in the fifth (MG – 2 (3.8 %), CompG – 6 (22.1 %), CG – 11 (15.7 %), p>0.05) minutes after delivery, estimated at 8 points according to the Apgar’s scale. Noteworthy is a significantly smaller number of newborns among MG women, estimated at seven or less points (MG – 2 (3.8 %), CompG – 4 (14.8 %), CG – 9 (12.9 %), p< 0.05) according to the Apgar’s scale. In the structure of pathological and transient conditions among MG newborns, a significantly lower number of mild asphyxia cases was noted (MG – 2 (3.7 %), CompG – 2 (7.4 %), CG – 10 (14.3 %), p<0.05), as well as the absence of respiratory distress syndrome (MG – 0 (0.0 %), CompG – 1 (3.7 %), CG – 3 (4.3 %), p>0.05) and intraventricular hemorrhages (MG – 0 (0.0 %), CompG – 1 (3.7 %), CG – 3 (4.3 %), p>0.05) cases. Conclusions. The analysis of perinatal consequences shows a significantly higher number of newborns rated on the Apgar scale in the first and fifth minutes after birth in 9–10 points among newborns from women in labor of the main group and significantly higher scores for questionnaires “Women’s Satisfaction with Deliveries” and “Edinburgh Scale of Postpartum Depression” in women who gave birth using hydraulic technologies in the first and second periods of labor, which indicates a better psycho-emotional state and contributed to an earlier establishment of lactation and a shorter stay in an obstetric hospital.

АНАЛИЗ ПОДХОДОВ К МОДЕЛИРОВАНИЮ ВОЗНИКНОВЕНИЯ, РАЗВИТИЯ И ЛИКВИДАЦИИ ЧРЕЗВЫЧАЙНЫХ СИТУАЦИЙ НА ГИДРОТЕХНИЧЕСКИХ ОБЪЕКТАХ

Currently, an important problem, both for society and for the economy of the country as a whole, remains the problem of the safety of water bodies, especially dams and other hydraulic structures. To date, there are more than 29 thousand hydraulic structures in the Russian Federation. The destruction of such facilities is of both defense, economic and social significance for the country, as well as a potential danger to the health and life of the population, as well as the entire natural environment. About 100 million people live in the zone of possible impact of damaging factors. Based on this, we can conclude that there is a need to minimize the probability of such events. Recently, the use of new innovative methods of monitoring hydraulic structures, including mathematical methods, has been intensively developing. In this paper, an analysis of approaches to modeling the occurrence, development and elimination of emergencies at hydraulic engineering facilities is carried out. Methods of mathematical modeling and forecasting of the situation in case of emergency situations at hydraulic engineering facilities are considered. The technology of situational modeling of natural and man-made emergencies is considered. The features of using various calculation methods to assess the consequences and dynamics of hazardous situations at hydraulic structures are shown

A visual basic implementation of the design and analysis of centrifugal pump rotors using Euler's theory and similarity laws

The continuous evolution of hydraulic machinery demands innovative tools for improving the design and performance of centrifugal pumps. This study presents the development and validation of a Visual Basic application for designing centrifugal pump rotors, leveraging Euler's theory and similarity laws. The mathematical modeling includes essential parameters such as pump head, flow rate, and efficiency, which are computed based on theoretical equations and user-provided inputs. The software's ability to automate calculations provides engineers with a quick and reliable solution for optimizing pump performance. Experimental validation and comparative analysis with existing studies confirm the software’s accuracy in predicting pump behavior. The results highlight the importance of parameters such as flow rate, rotational speed, and hydraulic head in achieving optimal pump performance. Additionally, the software facilitates detailed parametric studies and generates data that can be exported for further analysis.This research contributes to the development of accessible computational tools, bridging the gap between theoretical principles and practical applications in hydraulic engineering. Future developments will focus on integrating advanced computational methods and expanding the software’s capabilities.

GIS-based application of hydrological modelling in the Borkena Catchment, Ethiopia

ABSTRACT Hydrologic models have been used in different river basins across the world for a better understanding of the hydrological cycle and the water resource availability. This study tested the applicability of the Hydraulic Engineering Center Hydrologic Modelling System (HEC-HMS) in the Borkena Catchment of Awash Basin. The HEC-HMS system is used to estimate peak flood, time to peak, and runoff volume. Model calibration and validation were carried out using the observed streamflow data from 1989 to1997 and from 1998 to 2002, respectively. The observed and simulated peak streamflows for calibration were 165.3 and 122.6 m3/s and for validation were 197.3 and 155.2 m3/s, respectively, whereas the average volumes were 1,223 and 1,380 mm for calibration and 1,647 and 1,847 mm for validation, respectively. From these results, it is observed that HEC-HMS slightly underestimated peak flow and overestimated runoff volume in both calibration and validation periods. Nash–Sutcliffe Efficiency values of 0.65 and 0.70, Coefficient of Determination values of 0.69 and 0.71, and Percent Bias of 12.84 and 12.16% for calibration and validation, respectively, were obtained. It can be concluded that in areas with limited water resources and ungauged watersheds like Borkena Catchment, simulated results of this study can be used for the design of different infrastructures for flood control and prevention in the study area and adjacent catchments.

Research on Reform and Innovation of Training Mode of Civil and Hydraulic Engineering Graduate Students under the Background of “Dual Carbon” Goals

As an important part of the overall layout of ecological civilization construction, carbon peaking and carbon neutrality provide strategic opportunities for low-carbon energy transformation and innovative development of higher education. Based on the training of civil and water conservancy professional postgraduate students, this paper builds an interdisciplinary teaching system centering on the concept of “dual carbon”, and explores the relationship between energy transformation and energy conservation and emission reduction, engineering technology and green development, practical cases and analysis and other course systems through the establishment of a composite innovative teaching team of civil and water conservancy and innovative personnel training mode. In order to achieve the “dual carbon” goals of the society, this paper puts forward the model of university-enterprise cooperation and the integration of science, production and education.

Increasing the performance properties of hydraulic concrete using ultra- and fine-dispersed additives

Taking into account the constantly growing requirements for the quality, reliability and durability of concrete structures for hydraulic structures, there is a need to develop hydraulic concrete compositions with improved performance properties. The aim of the study is to improve the physico-mechanical and deformative properties of hydraulic concrete using finely dispersed aluminosilicate rocks – perlites and colloidal additives in the form of silicic acid sol. The object of the study is modified hydraulic engineering concrete based on a composite binder using finely dispersed vitreous and crystallized perlite, silicic acid sol and a polycarboxylate-based superplasticizer «Polyplast». Results of the study: The choice of silica-containing additives is substantiated and it is shown that their use has a positive effect on the properties of hydraulic concrete. The effect of complex modification on the properties of hydraulic concrete was established by reducing the content of Portland cement and replacing it with finely dispersed glassy perlite, pre-crushed to a specific surface of 300-600 m2/kg, introducing silicic acid sol and the superplasticizer "Polyplast", which make it possible to improve the physical, mechanical, deformation and hydrophysical properties: compressive strength - 53.4 MPa; ultimate tensile strength in bending - 10.9 MPa; crack resistance coefficient - 0.20; prismatic strength - 46.3 MPa; modulus of elasticity 37.345 MPa × 103; Poisson's ratio - 0.199, water absorption - by weight - 2.43%; water resistance grade - W16. It has been proven that by adding finely dispersed perlite, silica sol and superplasticizer Polyplast to Portland cement, it is possible to obtain hydraulic concrete characterized by strength indicators not inferior in strength to the control composition, and with increased indicators of water resistance and crack resistance compared to traditional compositions.

Koncepcje żeglugowego obejścia Gdańska w okresie międzywojennym

Since the establishment of the Second Polish Republic and the Free City Danzig, the Polish side sought to connect the Vistula River to the Polish sea (Gdynia) by waterway, bypassing Gdańsk (Danzig). This issue has not been discussed in the literature, and the current study is primarily based on contemporary articles by water engineers and press reports. As early as 1919, there were ideas to run a water canal from Gniew through Kashubia to the Polish coast and from Tczew, bypassing the border of the Free City of Danzig, to Gdynia. Later, the idea of a canal running from Świecie or Bydgoszcz through Kashubia to Gdynia was born. The latter option was initially developed and discussed in 1937 at conferences held in Gdynia and Grudziądz. The possibility of creating a sea port in Tczew and connecting it to the sea was also considered. The options included deepening the Vistula to allow seagoing ships to navigate the river or constructing a separate sea canal. The canal had to be routed through the Free City of Danzig territory, and its route depended on its mouth on the sea. In the case of an exit in Nowy Port, a canal reaching Gdańsk was planned. The most popular option was the canal route from Tczew to Martwa Wisła, with an exit in either Świbno or Górki. The third method of connecting the Vistula with Gdynia involved using river barges to navigate from Gdańsk to Gdynia through the waters of the Bay of Gdańsk. Proposals were made to adapt river barges for sailing on sea waters, to transport barges on a specially adapted ship, or to build a canal or pier to protect barges navigating at sea. Except for floating barges between Gdańsk and Gdynia, which sailed between these ports on calm days, the remaining solutions were suggestions and visions of engineers. These ideas were very expensive, technically difficult to implement, and remained largely theoretical; nevertheless, they were widely discussed.

Health Monitoring Technology for Hydraulic Engineering Gates Based on Multi-Sensor Data Fusion

An essential part of the hydraulic engineering systems, hydraulic gates regulate water flow in dams and other structures. To avoid structural problems, they must ensured to be consistent. Multi-sensor data fusion has become a key tool for health monitoring with advances in machine learning (ML) and sensor technologies. This study aims to provide a novel multi-sensor data fusion health monitoring system for hydraulic engineering gates. To provide more effective and precise real-time monitoring of hydraulic engineering gates, a unique Dynamic Satin Bowerbird search-driven Bidirectional Long Short-Term Memory (DSB-BiLSTM) model were proposed. The hydraulic monitoring dataset was collected from Kaggle website, comprising information and some attributes obtained from hydraulic engineering gates. To improve data quality, noise reduction, and data normalization are used. Time-series analysis techniques extract important information such as vibration patterns and pressure variations. The DSB-BiLSTM model leverages bidirectional LSTM to progress time-dependent data, and the Satin Bowerbird search optimizes sensor selection. The method shows better accuracy and efficiency in identifying potential faults compared to traditional models. When compared to four attributes such as pump, cooling, valve and accumulator with the metrics outcomes of 0.9901, 0.9925, 0.9950, and 0.9890 in accuracy, 0.9930, 0.9960, 0.9902, and 0.9889 in precision, 0.9920, 0.9960, 0.9911, and 0.9890 in recall, and 0.9915, 0.9955, 0.9905, and 0.9889 in F1-score, the DSB-BiLSTM model performs better than all other approaches that were examined. This suggests better overall hydraulic engineering gate health monitoring performance. The proposed DSB-BiLSTM model is a show potential solution for real-time health monitoring of hydraulic gates, provided that it enhances accuracy and reduces computational complexity.

Use of CFD for optimization of hydraulic structures and hydropower plants

This article deals with new possibilities of using mathematical modelling for optimization in the field of hydraulic engineering elements. Optimization allows to increase the performance of structures while reducing investment costs. An interesting area is the shape optimization of hydropower plant structural elements. Demonstrations of the use of CFD will also cover the area of design of custom hydro turbines.

A Novel Analytical Solution of Radial Diffusion Equation with Constant Terminal Rate of Slightly Compressible Fluid

In reservoir engineering, the flow and type of fluids crossing porous media, are associated with pressure drops leading to variations on hydrodynamic parameters and the filtration stages which are of interest to be assessed as they impact the production efficiency of oil and gas industry. These parameters are the key to the practical solutions of numerous subjects faced during oil field exploitation. Dealing with the problem of sound field development initiatives requires a rigorous examination of unsteady filtration of slightly compressible fluid in the reserves layer. The state of the art of the proposed scientific work is to present an innovative mathematical approach that gives unique results, in the mathematical connection and combination of the equations used versus existing diffusion equation in the case of the constant terminal rate solution. This model helps the designers in the field of oil and gas to better and faster evaluate the diffusivity of the pay zones, the different hydrodynamic parameters, and the different variables that take part in the development of fluid filtration processes in the porous medium expressed as in the dependence of time, distance, and other variables, all of which together impact the well testing and long-term projections.