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Corrigendum to “Effects of wettability heterogeneity on multiphase flow: From pore-scale mechanisms to cross-scale insights” [Advances in Water Resources 199 (2025) 104956] “润湿性非均质性对多相流的影响:从孔隙尺度机制到跨尺度的见解”[水利进展199(2025)104956]的勘误。
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-10-22 DOI: 10.1016/j.advwatres.2025.105148
Jingrui Liu , Kang Duan , Rihua Jiang , Qiangyong Zhang
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引用次数: 0
Experimental and numerical model studies on flood inundation and drainage processes in a generalized urban street 城市广义街道洪水淹没排水过程的实验与数值模型研究
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-10-31 DOI: 10.1016/j.advwatres.2025.105159
Jiheng Feng , Junqiang Xia , Boliang Dong , Xiaojie Wang , Roger A. Falconer
Accurate modelling of urban flood processes remains challenging due to the dual interaction between surface runoff and underground drainage, as well as the complexity in the layout of urban configurations. In this study, a series of experiments were conducted using a laboratory urban street model covering urban roads, buildings, street inlets, and an underground drainage network, in order to examine the hydrodynamic effects of the existence of buildings on flood inundation and drainage processes. A coupled 1D/2D hydrodynamic model was employed to replicate the flood inundation and drainage processes in the laboratory experiments, incorporating two different discharge capacity formulas of street inlet to evaluate their accuracy and applicability. The effect of building density on the flood inundation characteristics was also investigated through numerical tests. The following conclusions are drawn from this study: (i) the existence of buildings significantly altered the distribution of surface water depth, with the largest increase in water depth observed in the upstream and midstream domains under a high inflow, and the most notable water depth reduction occurring in the downstream domain under a low inflow; (ii) the existence of buildings could also increase the drainage discharge of street inlets by concentrating runoff and increasing the water depth around street inlets; (iii) among two inlet discharge capacity formulas used in this study, the unified formula presenting a simpler structure was capable of replicating the drainage processes in a flood event, especially at the steady stage; and (iv) under a fixed building number, different building densities reflected the spatial coverage of the building array, which critically influenced the flood inundation characteristics. Denser building layout led to lower water depths, while sparser layout caused deeper and more widespread inundation area.
由于地表径流和地下排水的双重相互作用,以及城市布局的复杂性,城市洪水过程的精确建模仍然具有挑战性。本研究采用实验室城市街道模型,包括城市道路、建筑物、街道入口和地下排水网络,进行了一系列实验,以研究建筑物的存在对洪水淹没和排水过程的水动力影响。采用一维/二维耦合水动力模型模拟室内洪涝过程,结合两种不同的街道进水口流量公式,对其准确性和适用性进行评价。通过数值试验研究了建筑密度对洪水淹没特性的影响。研究结果表明:(1)建筑物的存在显著改变了地表水深的分布,在高入流条件下,上游和中游区域的水深增加最大,而在低入流条件下,下游区域的水深减少最为显著;(ii)建筑物的存在亦会积聚径流及增加街道入口周围的水深,从而增加街道入口的排水量;(3)在两种进水口流量计算公式中,统一公式结构简单,能较好地反映洪涝事件的排水过程,尤其是稳定阶段的排水过程;(4)在一定的建筑数量下,不同的建筑密度反映了建筑阵列的空间覆盖,这对洪水淹没特征有重要影响。较密集的建筑布局导致水深较低,而较稀疏的建筑布局导致淹没面积更深、范围更广。
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引用次数: 0
A novel hybrid framework for combining process-based models with machine learning for streamflow prediction 将基于过程的模型与机器学习相结合的新型混合框架用于流量预测
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-11-16 DOI: 10.1016/j.advwatres.2025.105177
Xiaolei Jiang , Leyi Hu , Xiaolei Fu , Hoshin Gupta , Yueping Xu , Chuancheng Zhao , Gengxi Zhang , Miao Lu
Streamflow prediction is traditionally effective in mitigating water scarcity and flood protection. Current modeling approaches often rely on either “process-based” or “data-based” models, including ones based on machine learning (ML). However, numerous simplifying assumptions tend to limit the performance of process-based models. On the other hand, ML-based models tend to have limited interpretability. To address these drawbacks, we propose and test a hybrid modeling framework entitled the “process elements correction” method (PEC) that couples the Xinanjiang (XAJ) model with the long short-term memory network (LSTM). As a basis for comparison, we also test the more commonly used terminal error correction method (TEC). Our results indicate that in the TEC or PEC frameworks, significant improvements can be achieved by careful choice of the contextual variables provided as inputs to LSTM to correct the error of XAJ model simulations. Overall, both PEC and TEC significantly enhance the performance of the XAJ model, especially under low and medium flow conditions. Meanwhile, we find the newly proposed PEC approach to be superior to TEC in correcting flood volumes. Additionally, PEC and TEC generally performs better than LSTM model, although LSTM leads to the smallest error in flood volume. Overall, the PEC is an efficient hybrid model framework to improve the model simulations.
传统上,流量预测在缓解水资源短缺和防洪方面是有效的。当前的建模方法通常依赖于“基于过程”或“基于数据”的模型,包括基于机器学习(ML)的模型。然而,许多简化的假设往往会限制基于流程的模型的性能。另一方面,基于ml的模型往往具有有限的可解释性。为了解决这些问题,我们提出并测试了一种名为“过程元素校正”方法(PEC)的混合建模框架,该框架将新安江(XAJ)模型与长短期记忆网络(LSTM)相结合。作为比较的基础,我们还测试了更常用的终端纠错方法(TEC)。我们的研究结果表明,在TEC或PEC框架中,通过仔细选择作为LSTM输入的上下文变量来纠正XAJ模型模拟的错误,可以实现显著的改进。总的来说,PEC和TEC都显著提高了XAJ模型的性能,特别是在低流量和中流量条件下。同时,我们发现新提出的PEC方法在校正洪水量方面优于TEC方法。此外,PEC和TEC模型总体上优于LSTM模型,尽管LSTM模型在洪水体积上的误差最小。总的来说,PEC是一种有效的混合模型框架,可以提高模型的仿真效果。
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引用次数: 0
A stochastic framework for mapping probable locations of discrete subsurface conductive pathways facilitating mass migration 一个用于绘制离散地下传导路径可能位置的随机框架,便于大规模迁移
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-10-25 DOI: 10.1016/j.advwatres.2025.105161
Ahmad H. Askar , Jeremy T. White , Brioch Hemmings
Discrete hydro(geo)logic features such as fractures and faults in subsurface formations critically influence the migration of dissolved-phase constituents, often serving as preferential pathways that complicate resource management planning and efforts. Robust characterization and representation of these features is crucial for designing effective management strategies and ensuring successful decision making. To address these challenges, we developed a novel stochastic modeling framework that couples groundwater flow and dissolved phase transport with a non-stationary categorical parameterization within an ensemble data assimilation scheme (PESTPP-iES), enabling improved characterization of such system controlling features. Using a hypothetical scenario involving an interbedded sandstone and fractured shale sequence, the framework was evaluated across various fracture configurations that represent differing levels of system property complexity and uncertainty. By creatively coupling distinct simulation models, the framework was able to capture highly localized, fine-scale fractures, while maintaining an efficient coarser scale representation of the primary aquifer units. Data assimilation involved conditioning the initial prior ensemble with geological information, followed by history matching with state (i.e., head and concentration) measurements from the aquifers. Results revealed up to 80 % reduction in spatial uncertainty of probable fracture locations, demonstrating the importance of assimilating all available information to aid in delineating probable damage zones. The framework is designed to be implemented within an iterative modeling workflow, whereby additional site data can be easily assimilated to progressively refine and constrain the probable locations of fractures through successive analyses.
离散的水文(地质)逻辑特征,如地下地层中的裂缝和断层,严重影响着溶解相成分的运移,往往是使资源管理规划和工作复杂化的优先途径。这些特征的稳健表征和表示对于设计有效的管理策略和确保成功的决策制定至关重要。为了应对这些挑战,我们开发了一种新的随机建模框架,该框架将地下水流动和溶解相输运与集成数据同化方案(PESTPP-iES)中的非平稳分类参数化相结合,从而改进了系统控制特征的表征。采用假设的砂岩层间和裂缝性页岩层序场景,对不同裂缝配置的框架进行了评估,这些裂缝配置代表了不同级别的系统属性复杂性和不确定性。通过创造性地耦合不同的模拟模型,该框架能够捕获高度局部化、精细尺度的裂缝,同时保持对主要含水层单元的有效的粗尺度表示。数据同化包括用地质信息调节初始先验集合,然后与含水层的状态(即水头和浓度)测量进行历史匹配。结果显示,可能裂缝位置的空间不确定性降低了80%,这表明了吸收所有可用信息以帮助划定可能的损伤区域的重要性。该框架被设计为在迭代建模工作流程中实施,通过连续分析,可以轻松地吸收额外的现场数据,逐步完善和限制裂缝的可能位置。
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引用次数: 0
Effects of disconnected fluid interfaces on pressure drops for liquid-liquid-gas three-phase flow in porous media 分离流体界面对多孔介质液-液-气三相流压降的影响
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-10-09 DOI: 10.1016/j.advwatres.2025.105144
Jiafan Guo , Zhechao Wang , Liping Qiao , Hao Feng
The simultaneous flow of three fluids in porous media often occurs during gas injection into formations, and the flow process typically exhibits significant intermittent or disconnected flow behavior. This study explores the relationships between the capillary pressure drop and interfacial area in steady-state three-phase flow. The capillary pressure drop, which occurs at the fluid-fluid interfaces between the three fluid phases (e.g., water/oil/gas), is defined as the difference between the total pressure drop and the viscous pressure drop. Through steady-state three-phase flow experiments in micromodels, we determined that the capillary pressure drop maintains a roughly linear relationship with the total specific interfacial area of non-wetting liquid-wetting liquid, non-wetting liquid-gas, and gas-wetting liquid interfaces. Furthermore, by considering the differences in interfacial tensions among these interfaces, we found that incorporating the interfacial energy per volume significantly enhances this linear relationship. The interfacial energy per volume is defined as the product of interfacial tension and specific interfacial area. Moreover, the slope of this linear relationship is mainly influenced by the flow rate and follows a negative exponential power function. This study quantifies the significant effect of fluid-fluid interfaces on pressure drop during three-phase disconnected flow.
注气过程中,三种流体在多孔介质中同时流动,通常表现出明显的间歇或不连通流动特征。研究了稳态三相流中毛细管压降与界面面积的关系。毛细压降是发生在三种流体相(如水/油/气)之间的液-液界面处,定义为总压降与粘性压降之差。通过微模型稳态三相流动实验,我们确定毛细管压降与非润湿液-润湿液、非润湿液-气、气-润湿液界面总比界面面积大致呈线性关系。此外,通过考虑这些界面之间的界面张力差异,我们发现加入每体积界面能显着增强了这种线性关系。单位体积的界面能定义为界面张力和比界面面积的乘积。该线性关系的斜率主要受流量的影响,服从负指数幂函数。本研究量化了三相非连通流动中流体-流体界面对压降的显著影响。
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引用次数: 0
Monitoring drywell infiltration dynamics using time-lapse electrical resistivity tomography 利用延时电阻率层析成像技术监测干井渗透动态
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-09-13 DOI: 10.1016/j.advwatres.2025.105102
Z. Moreno , L. Netzer , U. Nachshon , D. Kurtzman , Y. Livshitz , T. Kamai
Drywell infiltration initiates as water is injected into the drywell. Subsequently, the water level in the drywell builds up the driving head of water flow into the subsurface via the surface area of the drywell. Drywell infiltration is a function of the surrounding media’s hydraulic properties, the drywell’s geometry, and the injection rate. The drywell infiltration capacity property determines the water volume that can infiltrate the subsurface for different injection rates without overspilling. This property can be evaluated under controlled infiltration experiments where water levels in the drywell are continuously monitored during injection. However, no available method exists for revealing spatiotemporal information on the subsurface flow mechanisms, including flow patterns and residual time at the vadose zone. Conventional methods for monitoring the subsurface are intrusive, expensive, and can provide limited information, especially on the spatial extent. Unlike conventional monitoring techniques, electrical resistivity tomography (ERT) can provide continuous, non-invasive information on the subsurface in an easy-to-apply and efficient manner. We examine the ERT applicability to monitor water dynamics at the deep vadose zone (at depths of 20–40 m), induced by drywell infiltration. For that purpose, electrodes were installed at the surface, in the perforated section of the drywell, and at a wetwell, located 5 m from the dry one. Time-lapse ERT surveys were conducted during a controlled drywell infiltration experiment, including the borehole and surface electrodes. The results show that the relative changes in the electrical conductivity can describe water dynamics during the infiltration experiment. Saturation maps translated from the electrical tomograms using calibrated petrophysical relations preserved the water mass balance injected into the well up to 250 min after the injection started. Modeling this experiment with a semi-analytical solution, assuming a sharp-wetting front interface, agreed with the wetting front location from the time-lapse electrical tomograms and with the water levels measured in the drywell.
干井渗透开始于水注入干井。随后,干井中的水位通过干井的表面形成水流进入地下的驱动头。干井渗透是周围介质水力特性、干井几何形状和注入速度的函数。干井渗透能力特性决定了在不同注入速率下能渗入地下而不溢水的水量。这种特性可以通过控制渗透实验来评估,在注入过程中连续监测干井中的水位。然而,目前还没有有效的方法来揭示地下流动机制的时空信息,包括渗流带的流动模式和剩余时间。传统的地下监测方法是侵入性的,昂贵的,而且只能提供有限的信息,特别是在空间范围上。与传统的监测技术不同,电阻率层析成像(ERT)可以以一种易于应用和有效的方式提供连续的、非侵入性的地下信息。我们检验了ERT对监测干井入渗引起的深层渗透带(深度20-40 m)水动力学的适用性。为此,电极被安装在干井表面、干井穿孔段和湿井处,距干井5米。在受控干井渗透实验期间进行了延时ERT测量,包括井眼和地面电极。结果表明,电导率的相对变化可以描述入渗试验过程中的水动力学。利用校准过的岩石物理关系,从电层析图转换而来的饱和度图在注入开始后的~ 250分钟内保持了注入井中的水质量平衡。采用半解析解对实验进行建模,假设有一个尖锐润湿前沿界面,与从延时电断层图中得到的润湿前沿位置和干井中测量的水位一致。
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引用次数: 0
Can runoff modeled at coarse resolution simulate floods at finer resolutions? A case study over the Ohio River Basin 粗分辨率的径流模型能否模拟精细分辨率的洪水?俄亥俄河流域的案例研究
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-10-19 DOI: 10.1016/j.advwatres.2025.105151
Tara J. Troy , Naresh Devineni , Carlos H.R. Lima , Upmanu Lall
Recent studies on flood-generating mechanisms have advanced understanding of the hydrologic processes that lead to riverine flooding. Flood modeling frameworks can play a role in furthering this research, but they can be computationally intensive. This study tests the ability to simulate floods using the widely used Variable Infiltration Capacity (VIC) land surface model with a kinematic wave routing model over the Ohio River basin, which is flood-prone and topographically variable. Using 200 USGS streamflow gauges, the model estimates the median annual maximum daily flow (AMF) with an average bias of 1.8% across the gauges and the 90th percentile AMF with an average bias of 6.2% for 1979–2022. Errors tend to be larger in flatter regions and in smaller basins with dams, highlighting the role dams play in reducing flood peaks in this basin. Model experiments show that the simulated AMF is not sensitive to the subdaily model timestep, but it is sensitive to the spatial resolution, with larger grid cells resulting in underestimating AMF. Overall, this modeling framework reproduces flooding across a range of land cover, topography, and drainage area, indicating it can be used in future studies to investigate flood generating mechanisms and flood risk estimation.
最近对洪水发生机制的研究促进了对导致河流洪水的水文过程的理解。洪水建模框架可以在进一步研究中发挥作用,但它们可能是计算密集型的。本研究使用广泛使用的变入渗能力(VIC)陆地表面模型和俄亥俄河流域的运动波浪路径模型来测试模拟洪水的能力,俄亥俄河流域是洪水易发和地形多变的。该模型使用200个美国地质勘探局的流量计,估计了1979-2022年的年最大日流量(AMF)中位数,平均偏差为1.8%,第90百分位AMF平均偏差为6.2%。在平坦地区和较小的水坝流域,误差往往更大,突出了水坝在该流域减少洪峰的作用。模型实验表明,模拟AMF对亚日模式时间步长不敏感,但对空间分辨率敏感,较大的网格单元导致AMF被低估。总体而言,该建模框架再现了一系列土地覆盖、地形和排水区域的洪水,表明它可以用于未来研究洪水产生机制和洪水风险估计。
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引用次数: 0
Anisotropy of two-phase relative permeability in porous media and its implications for underground hydrogen storage 多孔介质中两相相对渗透率的各向异性及其对地下储氢的影响
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-09-20 DOI: 10.1016/j.advwatres.2025.105127
Ruichang Guo, Hongsheng Wang, Reza Ershadnia, Seyyed A. Hosseini
Subsurface rocks with anisotropic pore structures that exhibit anisotropic absolute permeability also tend to display anisotropic behavior in relative permeability. As a key input for reservoir simulation, relative permeability is essential for evaluating and optimizing the performance of subsurface energy systems. However, this anisotropy is often overlooked in simulations due to the complexity involved in its characterization under varying conditions. A major challenge lies in the fact that relative permeability anisotropy is influenced by multiple factors, including fluid saturation, rock wettability, and the capillary number of the displacement process. Unlike absolute permeability, which can be succinctly characterized using an anisotropy ratio, relative permeability lacks a similarly concise representation. This study investigated how these factors affect relative permeability anisotropy in the context of underground hydrogen storage and provides insights for its modeling. Three types of porous media were designed to represent key forms of anisotropic pore structures: stratified sedimentary structure (SSS), directionally varying pore geometry (DVPG), and oriented fracture network (OFN). Direct pore-scale simulations using the lattice Boltzmann method were conducted to examine the anisotropic behavior of relative permeability in each medium. The degree of anisotropy was quantified using a relative permeability anisotropy ratio, RrA, and its dependence on water saturation and wettability was analyzed. Results showed that RrA in the SSS medium varied significantly with water saturation and wettability, while RrA in DVPG and OFN media remained largely insensitive to these factors. A geometric average anisotropy ratio, R¯rA, was proposed to characterize the overall degree of relative permeability anisotropy under specific wetting conditions. This metric showed that R¯rA, was greater than 1 for all porous media types and was comparable in magnitude to the absolute permeability ratio. These findings suggested that neglecting relative permeability anisotropy in reservoir simulations could introduce significant errors. The results enhanced theoretical understanding of two-phase flow in complex porous media and offered practical guidance for reservoir-scale modeling in anisotropic formations.
具有各向异性孔隙结构的地下岩石,其绝对渗透率表现出各向异性,相对渗透率也表现出各向异性。相对渗透率作为储层模拟的关键输入,对于评价和优化地下能量系统的性能至关重要。然而,由于在不同条件下表征的复杂性,这种各向异性在模拟中经常被忽视。一个主要的挑战在于相对渗透率的各向异性受到多种因素的影响,包括流体饱和度、岩石润湿性和驱替过程的毛管数。绝对渗透率可以用各向异性比率来简洁地表征,而相对渗透率则缺乏类似的简洁表示。本研究探讨了这些因素如何影响地下储氢条件下的相对渗透率各向异性,并为其建模提供了见解。三种多孔介质被设计为代表各向异性孔隙结构的关键形式:层状沉积结构(SSS)、定向变化孔隙几何形状(DVPG)和定向裂缝网络(OFN)。采用晶格玻尔兹曼方法进行了直接孔隙尺度模拟,以检验每种介质中相对渗透率的各向异性行为。利用相对渗透率各向异性比(RrA)量化了各向异性程度,并分析了各向异性对含水饱和度和润湿性的依赖关系。结果表明,SSS介质的RrA随含水饱和度和润湿性变化显著,而DVPG和OFN介质的RrA对这些因素基本不敏感。提出了几何平均各向异性比R¯rA来表征特定润湿条件下相对渗透率各向异性的总体程度。该指标表明,对于所有多孔介质类型,R¯rA都大于1,其量级与绝对渗透率比相当。这些发现表明,在油藏模拟中忽略相对渗透率的各向异性可能会引入显著的误差。研究结果增强了对复杂多孔介质中两相流动的理论认识,为各向异性地层的储层尺度建模提供了实践指导。
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引用次数: 0
Comparative pore and continuum-scale modeling of evaporation in mixed wettability porous media 混合润湿性多孔介质中蒸发的比较孔隙和连续尺度模拟
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-09-24 DOI: 10.1016/j.advwatres.2025.105123
Ayomikun Bello , Abdolreza Kharaghani, Evangelos Tsotsas
Evaporation in porous media plays a critical role in systems where optimizing evaporation rates and patterns is vital. Heterogeneous wettability can significantly influence evaporation dynamics by altering capillary forces and liquid connectivity; however, its specific effects on evaporation front morphology, capillary pressure–saturation relationships, and the transition to the falling-rate regime are not well understood. This study addresses this gap by using a modeling framework to simulate evaporation in mixed-wet porous media. The approach combines a three-dimensional pore-network model with a spatially-resolved non-equilibrium continuum model on an identical voxel-based domain. The porous medium is assigned random contact angles ranging from 30°to 150°. Capillary-driven flow and evaporation are simulated, and key metrics such as liquid saturation, capillary pressure, and relative permeability are monitored. Our results show a two-stage drying process. In the initial stage, a highly connected liquid network sustains capillary-driven evaporation with high flux. Over time, liquid clusters become isolated and wet pockets persist, slowing evaporation and inducing a falling-rate regime. Heterogeneous wettability produces a ramified evaporation front, alters capillary pressure dynamics, and affects the evolution of relative permeability. These findings improve our understanding of evaporation kinetics in mixed-wet porous media. They validate the use of a dynamic capillary pressure formulation in continuum models and inform improved modeling of evaporation in environmental and industrial porous materials.
多孔介质中的蒸发在优化蒸发速率和模式至关重要的系统中起着至关重要的作用。非均相润湿性通过改变毛细力和液体连通性显著影响蒸发动力学;然而,其对蒸发锋形态、毛管压力-饱和度关系以及向降速状态过渡的具体影响尚不清楚。本研究通过使用建模框架来模拟混合湿多孔介质中的蒸发,从而解决了这一差距。该方法将三维孔隙网络模型与基于体素的空间分辨非平衡连续体模型相结合。多孔介质的随机接触角范围从30°到150°。模拟了毛细管驱动的流动和蒸发,并监测了液体饱和度、毛细管压力和相对渗透率等关键指标。我们的结果显示了一个两阶段的干燥过程。在初始阶段,高度连通的液体网络维持了毛细管驱动的高通量蒸发。随着时间的推移,液体团簇变得孤立,湿袋持续存在,从而减缓了蒸发,导致了速率的下降。非均相润湿性产生分支化蒸发锋,改变毛管压力动态,影响相对渗透率演化。这些发现提高了我们对混合湿多孔介质蒸发动力学的理解。他们验证了连续模型中动态毛细管压力公式的使用,并改进了环境和工业多孔材料蒸发的建模。
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引用次数: 0
Impact of porous media heterogeneity on convective mixing in a Rayleigh–Bénard instability 多孔介质非均质性对rayleigh - bsamadard不稳定性对流混合的影响
IF 4.2 2区 环境科学与生态学 Q1 WATER RESOURCES Pub Date : 2025-12-01 Epub Date: 2025-10-09 DOI: 10.1016/j.advwatres.2025.105139
Rima Benhammadi, Juan J. Hidalgo
This work studies the effect of the heterogeneity of a porous medium on convective mixing. We consider a system in which a Rayleigh–Bénard instability is triggered by a temperature difference between the top and bottom boundaries. Heterogeneity is represented by multi-Gaussian log-normally distributed permeability fields. We explore the effect of the Rayleigh number, the variance and correlation length of the log-permeability field on the fingering patterns, heat flux, mixing state and flow structure. Heat flux increases for all heterogeneous cases compared to the homogeneous ones. When heterogeneity is weak and the horizontal correlation length small, flux exhibits minimal sensitivity to the variance of the log-permeability. When the correlation length increases, flux increases proportionally to the log-permeability variance.
The mixing state is evaluated through the temperature variance and the intensity of segregation. Both take higher values, compared to their homogeneous analogues, when the correlation length and the variance of the permeability are increased. This indicates that even if heat flux increases, the system is less well mixed.
The flow structure shows that in homogeneous and weakly heterogeneous cases there is a relation between the location of high strain rates and stagnation points, while for strongly heterogeneous cases, high strain rate zones are linked to high permeability areas near the boundaries, where temperature plumes originate. The interface width tends to decrease as the variance and the correlation length of the permeability field are augmented, suggesting that the interface undergoes greater stretching in heterogeneous porous media.
本文研究了多孔介质的非均质性对对流混合的影响。我们考虑这样一个系统,在这个系统中,顶部边界和底部边界之间的温差触发了瑞利-巴姆纳德不稳定性。非均质性由多高斯对数正态分布的渗透率场表示。探讨了测井-渗透率场的瑞利数、方差和相关长度对指理模式、热流密度、混合状态和流动结构的影响。与均匀情况相比,所有非均匀情况下的热通量都增加。当非均质性较弱且水平相关长度较小时,通量对测井渗透率变化的敏感性最小。当相关长度增加时,通量与测井-渗透率方差成比例增加。
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Advances in Water Resources
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