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Mixed Copula for streamflow simulation based on intelligent knowledge set and parameter calibration using cooperation search algorithm 基于智能知识集和协同搜索算法参数标定的混合Copula流场模拟
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-04-01 Epub Date: 2026-02-07 DOI: 10.1016/j.advwatres.2026.105237
Yi-fan Xia , Zhong-kai Feng , Yang Xiao , Tao-tao Zhang , Ling-zhong Kong , Wen-jing Niu , Hui-ming Zhang
Streamflow simulation plays a crucial role in the scientific management of reservoir operations and water resources. This study proposes a novel streamflow simulation method using a mixed Copula approach, coupled with an intelligent knowledge set and a cooperation search algorithm for parameter optimization. This method addresses the limitations of traditional Copula-based models, such as limited expressive capability, an excessive number of model parameters, and long computation times. Initially, an intelligent knowledge set is established using a time series model. Next, the cooperation search algorithm is employed to estimate model parameters. Finally, simulated streamflow values are generated via conditional Copula. Theoretical analysis shows significant reduction in computational complexity compared to traditional methods. Engineering applications at multiple hydrological stations validate that the proposed method reduces parameters by over 99%, shortens estimation time to 3–4% of traditional methods, and improves accuracy by 5–15%. This novel method integrates an intelligent knowledge set with parameter optimization to improve the precision of streamflow simulation, providing a valuable technical tool for watershed management.
水流模拟在水库运行和水资源科学管理中起着至关重要的作用。本文提出了一种基于混合Copula方法的流场模拟方法,并结合智能知识集和协同搜索算法进行参数优化。该方法解决了传统copula模型表达能力有限、模型参数过多、计算时间长等问题。首先,利用时间序列模型建立智能知识集。其次,采用合作搜索算法对模型参数进行估计。最后,通过条件Copula生成模拟流流量值。理论分析表明,与传统方法相比,该方法的计算复杂度显著降低。多个水文站的工程应用表明,该方法参数减少99%以上,估计时间缩短至传统方法的3-4%,精度提高5-15%。该方法将智能知识集与参数优化相结合,提高了径流模拟的精度,为流域管理提供了有价值的技术工具。
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引用次数: 0
Multi-resolution transfer learning for rapid prediction of pore-scale multiphase flow 基于多分辨率迁移学习的孔隙尺度多相流快速预测
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-04-01 Epub Date: 2026-02-06 DOI: 10.1016/j.advwatres.2026.105236
Haotian Li , Saideep Pavuluri , Harris Sajjad Rabbani , Bicheng Yan
Deciphering multiphase flow patterns at the pore-scale is fundamentally essential for upscaling to determine macro-scale flow parameters. Direct numerical simulations provide detailed insights related to pore-scale flow physics but are computationally expensive. To reduce computational costs, coarser meshes may be used at the expense of accuracy. This study presents a deep learning framework that leverages multi-resolution data for two-dimensional pore-scale two-phase flow at fixed capillary number: low resolution simulations generate large training datasets, while high resolution simulations offer the required supervision to capture the pore-scale flow physics. The model effectively transfers the flow physics learned from low resolution dataset to the high resolution cases, requiring only limited high-fidelity data for adaptation. By combining computational efficiency with predictive accuracy, the proposed framework facilitates rapid and accurate pore-scale flow analysis, addressing a critical need in multiphase flow research.
破译孔隙尺度上的多相流模式对于确定宏观尺度的流动参数至关重要。直接数值模拟提供了与孔隙尺度流动物理相关的详细见解,但计算成本很高。为了减少计算成本,可以以牺牲精度为代价使用更粗的网格。本研究提出了一个深度学习框架,该框架利用固定毛细管数下二维孔隙尺度两相流的多分辨率数据:低分辨率模拟生成大型训练数据集,而高分辨率模拟提供捕获孔隙尺度流动物理所需的监督。该模型有效地将从低分辨率数据集学习到的流动物理知识转移到高分辨率数据集,只需要有限的高保真数据进行适应。通过将计算效率与预测精度相结合,所提出的框架有助于快速准确地进行孔隙尺度流动分析,解决了多相流研究的关键需求。
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引用次数: 0
One-dimensional non-Darcian flow model incorporating the impact of nonlinear clay consolidation on the threshold hydraulic gradient 考虑非线性粘土固结对阈值水力梯度影响的一维非达西流动模型
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-04-01 Epub Date: 2026-02-12 DOI: 10.1016/j.advwatres.2026.105239
Xianmeng Meng , Lintao Shen , Xiaoxuan Liu , Qu Wang , Maosheng Yin , Dengfeng Liu
The process of clay consolidation can alter hydraulic conductivity, which subsequently impacts the threshold hydraulic gradient, thereby affecting seepage flow. Existing seepage consolidation models have not considered the impact of changing hydraulic conductivity on the threshold hydraulic gradient. To address this issue, this paper establishes a one-dimensional non-Darcian flow model that accounts for the changes in the threshold hydraulic gradient due to the nonlinear consolidation characteristics of clay. The model is solved using the finite difference method, and the results are compared with those from a model that neglects the changes in the threshold hydraulic gradient. The results indicate that when the changes in the threshold hydraulic gradient are taken into account, both the rate of movement of the seepage moving boundary and the seepage flow velocity are reduced. The hydraulic head calculated with consideration of the threshold hydraulic gradient changes is higher than that calculated without considering such changes. The discrepancies in the position of the seepage moving boundary and the threshold hydraulic gradient collectively dictate the variations in the hydraulic head difference and the seepage flow velocity difference. When the initial hydraulic conductivity is small, the initial void ratio is large, the compression index is large, and the permeability index is small, the differences in hydraulic head between the model accounting for changes in the threshold hydraulic gradient and the one that does not are more significant. Ultimately, a laboratory experiment is used to validate the developed model. Experimental simulation results indicate that ignoring the variation in the threshold hydraulic gradient in long-term seepage simulations leads to a flow prediction error of approximately 15%.
粘土固结过程会改变导水率,进而影响阈值水力梯度,从而影响渗流。现有渗流固结模型未考虑导水率变化对阈值水力梯度的影响。为了解决这一问题,本文建立了一维非达西流动模型,该模型考虑了黏土非线性固结特性引起的阈值水力梯度的变化。采用有限差分法对模型进行求解,并与忽略阈值梯度变化的模型结果进行了比较。结果表明:当考虑阈值水力梯度的变化时,渗流移动边界的移动速率和渗流速度均有所减小;考虑阈值水力梯度变化计算的水头高于不考虑阈值水力梯度变化计算的水头。渗流移动边界位置和阈值水力梯度的差异共同决定了水头差和渗流速度差的变化。当初始水力导率小、初始孔隙比大、压缩指数大、渗透率指数小时,考虑阈值水力梯度变化的模型与不考虑阈值水力梯度变化的模型水头差异更显著。最后,通过实验室实验验证了所开发的模型。实验结果表明,在长期渗流模拟中,忽略阈值水力梯度的变化会导致流量预测误差约为15%。
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引用次数: 0
A reinterpreted discrete fracture model for Darcy–Brinkman flow in fractured porous media and its extension on nonconforming meshes 裂隙性多孔介质中Darcy-Brinkman渗流离散裂缝模型的重新解释及其在非一致网格上的推广
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-04-01 Epub Date: 2026-02-14 DOI: 10.1016/j.advwatres.2026.105240
Jingyao Liu, Hui Guo , Zhaoqin Huang , Yang Yang
A novel hybrid-dimensional model for Darcy–Brinkman flow in fractured porous media is proposed, inherently compatible with non-conforming grids. Building upon the reinterpreted discrete fracture model (RDFM) for Darcy flow, which introduces a Dirac–δ function to unify matrix-fracture flow, we develop the hybrid-dimensional RDFM for Darcy–Brinkman flow. We also rigorously establish its mathematical equivalence with the classical interface model. For numerical discretization, a hybrid scheme combining Local Discontinuous Galerkin (LDG) and standard Galerkin finite element methods (FEM) is employed. This approach overcomes key limitations of the LDG method in modeling one-dimensional fractures, such as difficulties with numerical flux selection and auxiliary variable specification, while maintaining computational efficiency. To solve the resulting coupled system, we introduce a pseudo-time and advance the solution in time toward a stationary state. Validation through coupled tracer transport simulations confirms the model’s robustness and applicability on non-matching grids.
提出了一种新的裂缝性多孔介质中Darcy-Brinkman流动混合维模型,该模型与非均匀网格具有内在兼容性。在引入Dirac -δ函数统一矩阵-裂缝流动的重新解释离散裂缝模型(RDFM)的基础上,建立了Darcy - brinkman流动的混合维RDFM模型。并严格建立了其与经典界面模型的数学等价性。数值离散采用局部不连续伽辽金法(LDG)和标准伽辽金有限元法(FEM)相结合的混合格式。该方法在保持计算效率的同时,克服了LDG方法在模拟一维裂缝时的主要局限性,如数值通量选择和辅助变量规格的困难。为了求解由此产生的耦合系统,我们引入了伪时间,并将解在时间上推进到一个定态。通过耦合示踪输运模拟验证了该模型在非匹配网格上的鲁棒性和适用性。
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引用次数: 0
Single collector capture model analysis of particle deposition: Effects of hydrodynamics, particle size, and collector geometry 颗粒沉积的单收集器捕获模型分析:流体动力学,颗粒大小和收集器几何形状的影响
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-04-01 Epub Date: 2026-02-03 DOI: 10.1016/j.advwatres.2026.105233
Shuyao Niu , Zhike Zou , Longcang Shu , Giovanni Michele Porta
Particle deposition in porous media is critical in natural and engineered systems and has significant implications for groundwater recharge, colloid filtration, and contaminant transport. Therefore, a comprehensive understanding of pore-scale dynamics is essential. Current research mainly focuses on deposition outcomes, whereas dynamic deposition processes require further research, particularly into the coupled effects of flow velocity, particle size, and collector geometry. This study establishes a single-collector model under favorable conditions, using Lagrangian simulations to analyze pore-scale force interactions and particle trajectories. This approach facilitates a systematic investigation of how flow velocity, particle size, and collector geometry influence deposition time, transport trajectory length, and spatial distribution of deposition particles, as well as force analysis of particles. The results showed that particle size and flow velocity primarily control η while collector geometry considerably affects deposition kinetics and spatial patterns. A distinct size-dependent transition in deposition mechanisms was observed, with sub-micron particles (≤1 μm) exhibiting stochastic, diffusion-dominated behavior with dispersed deposition times and trajectories and larger particles (≥2 μm) undergoing rapid, deterministic deposition driven by gravity. Irregular collector shapes enhanced the dispersion and delay of small particle deposition due to complex flow fields with vortices and tortuous streamlines, causing localized deposition hotspots in surface concavities. Force balance analysis shows that in the concave regions of irregular collectors, strong competition occurred Brownian motion and drag force, resulting in more random and tortuous deposition paths. As particle size increased, deposition behavior became shifts to gravity-dominated, with irregular flow fields exhibiting less influence. This study reveals the key role of local flow features in shaping particle deposition behavior, thus providing a deeper understanding of the particle deposition process.
多孔介质中的颗粒沉积在自然和工程系统中至关重要,对地下水补给、胶体过滤和污染物输送具有重要意义。因此,全面了解孔隙尺度动力学是必不可少的。目前的研究主要集中在沉积结果上,而动态沉积过程需要进一步研究,特别是流速、粒径和收集器几何形状的耦合效应。本研究建立了有利条件下的单收集器模型,利用拉格朗日模拟分析了孔隙尺度的力相互作用和粒子轨迹。这种方法有助于系统地研究流速、颗粒大小和收集器几何形状如何影响沉积时间、传输轨迹长度和沉积颗粒的空间分布,以及颗粒的力分析。结果表明,粒径和流速主要控制η,而收集器的几何形状对沉积动力学和空间模式影响较大。在沉积机制中观察到明显的尺寸依赖性转变,亚微米颗粒(≤1 μm)表现出随机的扩散主导行为,其沉积时间和轨迹分散,而较大颗粒(≥2 μm)在重力驱动下表现出快速的确定性沉积。由于复杂的流场具有旋涡和弯曲的流线,不规则的集热器形状增强了小颗粒沉积的分散和延迟,在表面凹陷处形成局部沉积热点。力平衡分析表明,在不规则收集器的凹区,发生了强烈的布朗运动和阻力竞争,导致沉积路径更加随机和曲折。随着粒径的增大,沉积行为向重力主导转变,不规则流场的影响较小。本研究揭示了局部流动特征在塑造颗粒沉积行为中的关键作用,从而为颗粒沉积过程提供了更深入的理解。
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引用次数: 0
An algebraic dynamic multilevel method for the simulation of contaminant transport and retention through vadose zones 一种模拟渗透带中污染物迁移和滞留的代数动态多层方法
IF 4.7 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-03-23 DOI: 10.1016/j.advwatres.2026.105278
Shuohan Zhang, Yuhang Wang, Zhang Wen, Hadi Hajibeygi, Peipei Xue
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引用次数: 0
Change in mineral accessible surface area due to CO2-induced mineral reactions in porous media 多孔介质中由二氧化碳引起的矿物反应引起的矿物可接近表面积的变化
IF 4.7 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-03-21 DOI: 10.1016/j.advwatres.2026.105277
M.F. Salek, Z. Shi, M. Kariminasab, W. Hames, L.E. Beckingham
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引用次数: 0
Inverse Modeling of Layered Soil Water Flow under Hydrothermal Coupling Using a Multi-Physics Informed Neural Network 热液耦合下层状土壤水流的多物理场神经网络反演模型
IF 4.7 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-03-21 DOI: 10.1016/j.advwatres.2026.105276
Yuqin Gao, Longsheng Xu, Ming Wu, Chenyu Yuan, Kunpeng Feng
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引用次数: 0
Deep learning-enhanced pore structure analysis for electrical properties in tight sandstone 基于深度学习的致密砂岩孔隙结构电性分析
IF 4.7 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-03-14 DOI: 10.1016/j.advwatres.2026.105274
Meng Wang, Lu Yin, Weichao Yan
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引用次数: 0
Coupled two-phase flow and surfactant/PFAS transport in porous media with angular pores: From pore-scale physics to Darcy-scale modeling 角孔多孔介质中耦合两相流和表面活性剂/PFAS输运:从孔隙尺度物理到达西尺度建模
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2026-03-01 Epub Date: 2026-01-27 DOI: 10.1016/j.advwatres.2026.105222
Sidian Chen , Bo Guo , Tianyuan Zheng
Two-phase surfactant-laden fluid flow and surfactant transport in porous media are critical to many natural and engineering applications. Surfactants modify two-phase flow by altering interfacial tension and wettability, while two-phase flow controls surfactant transport pathways and adsorption sites. These coupled processes are commonly modeled by combining Darcy-type two-phase flow equations with advection–dispersion–adsorption transport equations, with capillary pressure–saturation relationships scaled using the Leverett J-function. However, the Leverett J-function simplifies the porous medium as bundles of cylindrical tubes and decouples interfacial tension and wettability, limiting representation of angular pore geometries and coupled interfacial tension and wettability effects. We present a modeling framework that incorporates pore angularity and interfacial tension–wettability coupling effect into Darcy-scale surfactant-laden fluid flow and surfactant transport models. Within this framework, we derive two-phase flow properties for angular pores, upscale them across pore size distributions, and obtain explicit and closed-form expressions for the upscaled properties. These expressions are incorporated into a coupled flow–transport model for simulating transient two-phase flow and surfactant transport processes. Modeling results suggest a nonmonotonic and nonlinear dependence of two-phase flow properties on pore structure (angularity and size distribution) and interfacial tension (controlled by surfactant type and concentration). Example simulations of water flow and PFAS (surfactant-like contaminants) migration in unsaturated soils indicate that surfactant-induced flow effects on PFAS leaching are generally minor under typical site conditions, whereas pore angularity exerts dominant control on water flow, interfacial area, and consequently PFAS retention. Overall, the upscaling framework offers a more physically grounded approach for modeling two-phase surfactant-laden fluid flow and surfactant transport in porous media.
两相表面活性剂负载流体在多孔介质中的流动和表面活性剂的输运对许多自然和工程应用至关重要。表面活性剂通过改变界面张力和润湿性来改变两相流动,而两相流动控制表面活性剂的转运途径和吸附位点。这些耦合过程通常通过将darcy型两相流方程与平流-弥散-吸附输运方程结合起来进行建模,并使用Leverett j函数缩放毛细管压力-饱和度关系。然而,Leverett j函数将多孔介质简化为柱状管束,并将界面张力和润湿性解耦,限制了角孔几何形状的表达以及耦合界面张力和润湿性的影响。我们提出了一个将孔隙角度和界面张力-润湿性耦合效应纳入达西尺度表面活性剂负载流体流动和表面活性剂输运模型的建模框架。在此框架下,我们推导了角孔的两相流特性,在孔径分布上对它们进行了升级,并获得了升级特性的显式和封闭形式表达式。这些表达式被纳入一个耦合流输运模型,用于模拟瞬态两相流和表面活性剂输运过程。模拟结果表明,两相流特性与孔隙结构(角度和尺寸分布)和界面张力(由表面活性剂类型和浓度控制)具有非单调和非线性的关系。非饱和土壤中水流和PFAS(表面活性剂样污染物)迁移的模拟实例表明,在典型的现场条件下,表面活性剂诱导的流动对PFAS浸出的影响通常很小,而孔隙角对水流、界面面积以及PFAS滞留起主导作用。总的来说,升级框架为模拟多孔介质中两相表面活性剂负载流体的流动和表面活性剂的输运提供了一种更基于物理的方法。
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引用次数: 0
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Advances in Water Resources
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