Article
Geosciences, Multidisciplinary
Benoit Dewandel, Sandra Lanini, Vivien Hakoun, Yvan Caballero, Jean-Christophe Marechal
Summary: Studies have shown that applying mathematical integration to line-sink solutions, like the one developed by Hantush in the 1960s, can be directly used to derive analytical solutions for a variety of hydrogeological settings. This approach allows for the consideration of different factors such as the presence of pumping wells, aquifer boundaries, and recharge areas, providing a unique solution that can be applied to managed aquifer recharge designs.
HYDROGEOLOGY JOURNAL
(2021)
Article
Engineering, Civil
Yuening Tang, Chunhui Lu, Jian Luo
Summary: In this study, an analytical solution was derived for studying groundwater lenses on tropical islands with a three-dimensional model. The solution allows for convenient estimation of maximum pumping rates for wells or drains in different locations on rectangular islands, without extracting saltwater. The solution was validated using numerical simulations, which showed that the maximum pumping rate for a single well increases initially with the aspect ratio (ratio between island length and width), but reaches a constant value limited by the shorter island side. This analytical solution can be extended to include multiple wells and drains, and has significant importance for optimizing groundwater pumping on oceanic islands.
JOURNAL OF HYDROLOGY
(2023)
Article
Water Resources
Benoit Dewandel, Vivien Hakoun, Sandra Lanini, Bernard Ladouche, Claudine Lamotte, Jean-Christophe Marechal
Summary: This paper presents a new set of analytical solutions for analyzing pumping tests near a vertical fault zone, dyke, or vein. The solutions take into account the width, storativity, and hydraulic conductivity of the fault zone, as well as the anisotropic nature of the hydraulic conductivity. The solutions also consider flow transience within the fault zone.
ADVANCES IN WATER RESOURCES
(2022)
Article
Engineering, Civil
Jia Zhang, Chunhui Lu, Huiqian Wu, Ling Li
Summary: This study develops steady-state analytical solutions to describe seawater intrusion and the maximum pumping rate of a well located in unconfined coastal aquifers bounded by L-shaped coastlines. By using a correction factor, an acceptable, conservative maximum pumping rate is obtained, and the sensitivity of the well location on the maximum pumping rate is investigated.
JOURNAL OF HYDROLOGY
(2022)
Article
Environmental Sciences
Yuening Tang, Min Yan, Xiaoxiong Wang, Chunhui Lu, Jian Luo
Summary: Groundwater lens is crucial for providing freshwater supply for inhabitants of small islands, and its profile and volume are sensitive to factors such as topography, soil type, and human activities. Spatial recharge patterns have a significant impact on the lens volume, with smaller recharge areas or a more concentrated recharge rate resulting in a larger lens volume for a given constant total recharge.
WATER RESOURCES RESEARCH
(2021)
Article
Engineering, Civil
Lei Zhang, Chunhui Lu, Huiqiang Wu, Jun Liu, Jian Luo
Summary: Analytical solutions for the pumping-induced interface toe position and the maximum pumping rate in stratified coastal aquifers are developed in this study, based on the potential theory and the analytical solution proposed by Rathore et al. (2020). The sensitivity analysis shows that a lower transmissivity centroid elevation leads to a more seaward interface toe and a larger maximum pumping rate, while the impact of total transmissivity depends on the type of inland boundary condition. The proposed analytical solutions provide valuable guidance for the design of numerical models and laboratory experiments, and can serve as a simple tool for assessing allowable freshwater extraction in stratified coastal aquifers.
JOURNAL OF HYDROLOGY
(2023)
Article
Engineering, Mechanical
Mingpei Lin, Jinxiu Zhang, Ming Xu, Xiao Pan
Summary: This article introduces a semi-analytical method for constructing series solutions for the relative motion of Coulomb formation systems near equilibrium, aiming to facilitate the design of Coulomb formations based on the Lindstedt-Poincare method. The details of the series expansion and coefficient solution for arbitrary m :n-period orbits are discussed. To verify the effectiveness of the proposed method, the practical convergence domain of the high-order series solution is computed by comparing it with corresponding numerical solutions that satisfy the specified boundary conditions. Simulation results demonstrate the efficacy of the Lindstedt-Poincare method in constructing series solutions for the relative motion of Coulomb formation systems.
NONLINEAR DYNAMICS
(2023)
Article
Physics, Multidisciplinary
Rodrigo A. Vargas-Hernandez, Ricky T. Q. Chen, Kenneth A. Jung, Paul Brumer
Summary: This study introduces a novel methodology based on automatic differentiation to differentiate steady-state solutions in quantum systems, which provides advantages for inverse design and optimal control.
NEW JOURNAL OF PHYSICS
(2021)
Article
Mathematics, Applied
Piotr Knosalla
Summary: The steady-state system of aerotaxis equations in higher dimensions is studied. It is found that the existence and multiplicity of solutions depend on the total mass of the colony of bacteria, the energy function, and the boundary conditions.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Geochemistry & Geophysics
Jose M. Bastias Espejo, Gabriel C. Rau, Philipp Blum
Summary: This study investigates the effects of Earth tides on groundwater systems and compares the results from analytical solutions with those from numerical simulations to validate the accuracy of the analytical solutions. The findings are valuable for interpreting groundwater responses and estimating subsurface properties.
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
(2022)
Article
Engineering, Mechanical
Michail L. Pivovarov
Summary: In this study, a quasi-linear Mathieu-type equation is analyzed using the averaging method near the main resonance. Different types of phase portraits are identified and steady-state solutions are found. The periodic solutions of the primary equation that correspond to the steady-state solutions of the averaged equation are determined, along with analytical expressions for the probabilities of dissipation-induced capture into feasible steady-state solutions.
NONLINEAR DYNAMICS
(2021)
Article
Engineering, Civil
Mohamed Hayek
Summary: This paper presents analytical solutions for one-dimensional nonlinear steady-state vertical flux through unsaturated soils, which are applicable to homogeneous soils and fit better with experimental data. The solutions are obtained using the Maclaurin series expansion technique, and show excellent agreements with numerical results.
JOURNAL OF HYDROLOGY
(2023)
Article
Environmental Sciences
Luminda Niroshana Gunawardhana, Fatma Al-Harthi, Ahmed Sana, Mahad Said Baawain
Summary: The study findings indicate that simplified analytical solutions may lead to misleading estimations of aquifer properties when pumping tests are conducted in areas with complex site conditions.
ENVIRONMENTAL EARTH SCIENCES
(2021)
Article
Acoustics
Xin Su, Eburilitu Bai
Summary: The free vibration of orthotropic rectangular thin plates with four free edges on two-parameter elastic foundations is studied using the symplectic superposition method. The original vibration problem is converted into two sub-vibration problems by analyzing the boundary conditions, and the fundamental solutions of these sub-vibration problems are obtained using the separation variable method. The symplectic superposition solution of the original vibration problem is then obtained by superimposing the fundamental solutions of the sub-problems.
JOURNAL OF VIBRATION AND CONTROL
(2022)
Article
Thermodynamics
Qinzhuo Liao, Gensheng Li, Shouceng Tian, Xianzhi Song, Gang Lei, Xu Liu, Weiqing Chen, Shirish Patil
Summary: Upscaling in petroleum reservoir simulation captures the dynamic behavior of fine-scale models at a coarser scale. This study presents an analytical approach for computing relative permeability, which is more accurate and efficient compared to numerical simulation.
Article
Engineering, Civil
Quan Guo, Yue Zhao, Chunhui Lu, Jian Luo
Summary: A hydraulic tomography - physics informed neural network (HT-PINN) is developed to efficiently and accurately invert large-scale spatially distributed transmissivity fields. The method involves jointly training all neural network models to minimize the total loss function, resulting in inversion map accuracy exceeding 95%. It also exhibits great scalability and structure robustness in inverting fields with different resolutions.
JOURNAL OF HYDROLOGY
(2023)
Article
Environmental Sciences
Shengjie Hu, Zhenlei Yang, Sergio A. G. Torres, Zipeng Wang, Ling Li
Summary: Through a systematic investigation of 23,259 lakes in 11 hydroclimatic zones of China, it was found that there are differences in the fractal scaling relationships between the morphometric and hydrological parameters of lakes. While lake morphometric parameters follow a power law distribution, lake hydrological parameters do not show a power law relationship with lake area. The study also revealed that the applicability of the power law distribution for lake area varies across different regions and is significantly influenced by human activities.
Article
Environmental Sciences
Chengji Shen, Yu Fan, Yongqing Zou, Chunhui Lu, Jun Kong, Yue Liu, Ling Li, Chenming Zhang
Summary: Salt pans are important features in coastal marshes and their formation is influenced by factors such as evaporation rate, tidal amplitude, and marsh platform slope. This study found that salt pans tend to form in the lower supratidal zone due to sustained evaporation, while they can hardly grow in the intertidal zone due to regular tidal flushing. The decrease in potential evaporation rate, tidal amplitude, and/or marsh platform slope strengthens the hydraulic connection between the marsh surface and underlying watertable, resulting in thicker and wider salt pans. These findings contribute to a better understanding of marsh eco-hydrology and provide guidance for preventing their degradation.
ENVIRONMENTAL RESEARCH LETTERS
(2023)
Article
Environmental Sciences
Xinghua Xu, Pei Xin, Tingzhang Zhou, Xiayang Yu
Summary: Macropores, such as crab burrows, are common features in salt marsh sediment and play a significant role in pore-water flow. This study investigated the impact of macropores on saline water evaporation and pore-water salinity through laboratory experiments and numerical simulations. The results showed that macropores increased evaporation rates and influenced pore-water salinity distribution. The findings provide insights into the biogeochemical processes in salt marshes and emphasize the importance of macropores in regulating soil conditions.
WATER RESOURCES RESEARCH
(2023)
Article
Environmental Sciences
Zhaoyang Luo, Jun Kong, Xiayang Yu, Chunhui Lu, Adrian D. Werner, David A. Barry
Summary: The effects of unsaturated flow on density-dependent solute transport in coastal unconfined aquifers were analyzed using numerical simulations and laboratory experiments. The results showed that unsaturated flow has a more pronounced influence on salt distributions in coastal unconfined aquifers when tides are considered. Neglecting unsaturated flow effects can lead to expansion of the upper saline plume, shrinkage of the saltwater wedge, and overestimation of water and salt exchange across the aquifer-ocean interface.
WATER RESOURCES RESEARCH
(2023)
Article
Engineering, Mechanical
Kunpeng Su, Dingkang Xia, Jianhua Wu, Pei Xin, Yu Wang
Summary: Synergistic cavitation-particle erosion often occurs in high-speed sediment-laden flow in hydraulic structures and machines. Erosion prediction is challenging due to the unclear relationship between erosion and the characteristics of sand and silt-sized sediments. This study investigated the influence of sediment particle size distribution (PSDS) characteristics on vibratory erosion tests for carbon steel. The results showed that both sediment concentration and PSDS parameters had a major impact on synergistic erosion.
Article
Water Resources
Yuting Yao, Jun Kong, Chenming Zhang, Zixuan Tang, Chengji Shen, Zhaoyang Luo, Chunhui Lu, Xuejun Feng, Yang Sun
Summary: Tidal wetlands play a crucial role in CO(2) uptake in coastal oceans, but the spatial distribution of tidal microorganisms and their impact on nearshore aquifers have been poorly understood. In traditional models, microbial biomass production is often ignored and reaction rates depend only on nutrient decay. Through our biomass-based model, we identified zones of high microbial biomass that control aerobic respiration, nitrification, and denitrification in nearshore aquifers.
HYDROLOGICAL PROCESSES
(2023)
Article
Environmental Sciences
Wei Zhao, Ke-Hua Zhu, Zhen-Ming Ge, Qing Lv, Shi -Xian Liu, Wei Zhang, Pei Xin
Summary: Coastal wetlands are important carbon sinks in mitigating climate change. However, plastic waste pollution in these ecosystems has unclear effects on carbon flux. Our study found that polluted coastal wetlands are significant sources of carbon dioxide emissions.
JOURNAL OF ENVIRONMENTAL MANAGEMENT
(2023)
Article
Engineering, Civil
Yifan Xie, Yi Wang, Jiaxu Zhang, Yu Ye, Chengji Shen, Yipeng Zeng, Jichun Wu, Jian Luo, Chunhui Lu
Summary: This study investigates the influence of tides on seawater intrusion in fractured aquifers through laboratory experiments and numerical models. The results show that tides can expand the variation range of seawater intrusion properties in fractured aquifers and alter the influence patterns of fracture characteristics. These findings have important implications for improving our understanding of the comprehensive impact of tides and fractures on seawater intrusion.
JOURNAL OF HYDROLOGY
(2023)
Article
Engineering, Civil
Huiqiang Wu, Chunhui Lu
Summary: This study examines the mechanism of residual saltwater removal under seasonal groundwater level fluctuations. The results show that seasonal fluctuations in the groundwater table enhance the dilution of residual saltwater, thereby accelerating its removal. However, a higher dam height is required for complete removal of residual saltwater in the fluctuating head scenario compared to the constant-head scenario.
JOURNAL OF HYDROLOGY
(2023)
Article
Engineering, Civil
Qiaoyu Wang, Jie Yang, Ingo Heidbuechel, Xuan Yu, Chunhui Lu
Summary: The excessive use of nitrogen fertilizer has negative effects on drinking water quality and aquatic ecosystems. This study examines the spatiotemporal variation of nitrogen retention and the impact of external nitrogen input heterogeneity on retention capacity and nitrogen export in a small catchment in Germany. The findings highlight the importance of considering land-use patterns and regional wetness conditions to manage surface water quality.
JOURNAL OF HYDROLOGY
(2023)
Article
Engineering, Civil
Xiayang Yu, Pei Xin, Zhaoyang Luo, Li Pu
Summary: Freshwater injection is an effective method for mitigating seawater intrusion in coastal aquifers, but its thermal impacts on groundwater flow and salt transport are not well understood. This study examines the dynamic characteristics of salinity distributions and seawater recirculation in coastal unconfined aquifers subjected to freshwater injection and tides. The findings reveal that the development of thermal plume towards the sea affects the transient behavior of saline plumes and saltwater wedges, resulting in a prolonged aquifer response to injected freshwater. These results contribute to a better understanding of the processes involved in freshwater injection in coastal aquifers and provide guidance for the management of coastal groundwater resources.
JOURNAL OF HYDROLOGY
(2023)
Article
Environmental Sciences
Jiazhi Sun, Huiqiang Wu, Jina Yin, Chunhui Lu
Summary: This study developed a steady-state analytical solution using the single potential approach to quantify the maximum safe pumping rate in sloping unconfined coastal aquifers. It found that coastal aquifers with a higher aquifer bed towards inland yield a higher maximum safe pumping rate compared to those with a horizontal aquifer base. Neglecting the aquifer base slope can lead to significant errors in estimating the maximum safe pumping rate. The results provide valuable insights into the effect of the aquifer base slope on pumping-induced seawater intrusion in coastal aquifers and offer a useful tool for quick assessment.
WATER RESOURCES RESEARCH
(2023)
Article
Limnology
Lucheng Zhan, Pei Xin, Jiansheng Chen, Xiaogang Chen, Ling Li
Summary: This study reveals the presence of numerous highly saline artesian springs in a salt marsh system in East China. Multiple methods were used to determine the origin and trajectory of these springs, suggesting that they represent a long-term redistribution process of ancient marine water trapped in the unconfined aquifer. This new pattern of groundwater flow has significant implications for studies on submarine groundwater discharge in similar coastal systems.
LIMNOLOGY AND OCEANOGRAPHY LETTERS
(2023)