A Numerical Strategy of Decoupling the Subsurface Flow Equations for Regional Scale Hydrologic Simulations

2003 ◽  
Author(s):  
H. P. Cheng ◽  
H. C. Lin ◽  
D. R. Richards
Keyword(s):  
Regional Scale ◽  
Subsurface Flow ◽  
Flow Equations ◽  
Numerical Strategy

A depth-resolved framework for the coupling of sub-surface flows and surface gravity water waves

2020 ◽  
Author(s):  
Simen Ådnøy Ellingsen ◽  
Stefan Weichert ◽  
Yan Li
Keyword(s):  
Surface Waves ◽  
Water Waves ◽  
Multiple Scales ◽  
Subsurface Flow ◽  
Vertical Gradient ◽  
Finite Depth ◽  
Surface Gravity ◽  
Linear Wave ◽  
Flow Equations ◽  
Direct Integration Method

<p>This work aims to develop a new framework for the interaction of a subsurface flow and surface gravity water waves, based on a perturbation and multiple-scales expansion.  Surface waves are assumed of a narrow band δ (δ ), indicating they can be expressed as a carrier wave whose amplitude varies slowly in space and time relative to its phase. Using the Direct Integration Method proposed in Li & Ellingsen (2019), the effects of the vertical gradient of a subsurface flow are taken into account on the linear wave properties in an implicit fashion. At the second order in wave steepness ϵ, the forcing of the sub-harmonic bound waves is considered that plays a role in the primary equations for a subsurface flow.</p><p>The novel framework derives the continuity and momentum equations for a subsurface flow in two different formats, including both the depth integrated as well as the depth resolved version. The former compares with Smith (2006) to examine the roles of the rotationality of wave motions in the subsurface flow equations. The latter employs the sigma coordinate system proposed in Mellor (2003, 2008, 2015) and extends the framework therein to allow for quasi-monochromatic surface waves and the effects of the shear of a current on linear surface waves. Compared to Mellor (2003, 2008, 2015), the vertical flux/vertical radiation stress term in the proposed framework is approximated to one order of magnitude higher, i.e. O(ϵ<sup>2</sup>δ<sup>2</sup>).</p><p><strong>References</strong></p><p>Li, Y., Ellingsen, S. Å. A framework for modeling linear surface waves on shear currents in slowly varying waters. J. Geophys. Res. C: Oceans, (2019) <strong>124</strong>(4), 2527-2545.</p><p>Mellor, G. L. The three-dimensional current and surface wave equations. J. Phys. Oceanogr., (2003) <strong>33</strong>, 1978–1989.</p><p>Mellor, G. L. The depth-dependent current and wave interaction equations: a revision. J. Phys. Oceanogr., (2008) <strong>38</strong>(11), 2587-2596.</p><p>Smith, J. A. Wave–current interactions in finite depth. Journal of Physical Oceanography, (2006) <strong>36</strong>(7), 1403-1419.</p>

A rapid and flexible method for simulation of CSG water production: application in the Surat and Bowen basins

2014 ◽  
Vol 54 (1) ◽  
pp. 135
Author(s):  
Roald Strand ◽  
Greg Keir ◽  
Lucy Reading ◽  
Brent Usher ◽  
Chris Dickinson
Keyword(s):  
Large Scale ◽  
Numerical Models ◽  
Regional Scale ◽  
Water Production ◽  
Scaling Effects ◽  
Type Curves ◽  
Flow Equations ◽  
Simulation Speed ◽  
Engineering Models ◽  
Gis Software

There is significant interest in estimating volumes of water extracted during production as the CSG industry develops in the Surat and Bowen basins in Queensland, Australia. Klohn Crippen Berger Ltd (KCB) was commissioned by the Queensland Department of Natural Resources and Mines (DNRM) to develop a tool to estimate where, when, and how much CSG water will be produced in these areas under various industry expansion scenarios. The tool, which is now being maintained and further developed to interface with GIS software by the Centre for Water in the Minerals Industry (CWiMI), was built to balance numerical complexity against relative flexibility and simulation speed. This was achieved by an approach that differs from conventional reservoir engineering models, including: the use of non-equilibrium groundwater flow equations (the Theis equation) in conjunction with semi-empirical type-curve based methods; calculation of well interference effects and corresponding spatial scaling effects in a relatively large-scale spatially discretised model; and, modification of flows predicted using the Theis equation to reflect the dual-phase nature of CSG extraction, and the unique hydrogeological setting of the eastern margin of the Surat Basin. The tool was verified against equivalent Theis equation calculations and type curves provided by CSG proponents. The tool was demonstrated to adequately represent the unique physical mechanisms of CSG extraction, and produce robust estimates of CSG water production at a regional scale, while not relying on excessively complex numerical models or excessive data input requirements.

scholarly journals Machine learning subsurface flow equations from data

2019 ◽  
Vol 23 (5) ◽  
pp. 895-910 ◽  
Author(s):  
Haibin Chang ◽  
Dongxiao Zhang
Keyword(s):  
Machine Learning ◽  
Subsurface Flow ◽  
Flow Equations

Effects of Lateral Flow on the Convective Environment in a Coupled Hydrometeorological Modeling System in a Semiarid Environment

2020 ◽  
Vol 21 (4) ◽  
pp. 615-642
Author(s):  
Timothy M. Lahmers ◽  
Christopher L. Castro ◽  
Pieter Hazenberg
Keyword(s):  
Land Surface ◽  
Field Experiments ◽  
Overland Flow ◽  
Regional Scale ◽  
Subsurface Flow ◽  
Hydrologic Model ◽  
Lateral Flow ◽  
Energy Budgets ◽  
Surface Atmosphere ◽  
The Impact

AbstractEvidence for surface and atmosphere coupling is corroborated in both modeling and observation-based field experiments. Recent advances in high-performance computing and development of convection-permitting regional-scale atmospheric models combined with high-resolution hydrologic models have made modeling of surface–atmosphere interactions feasible for the scientific community. These hydrological models can account for the impacts of the overland flow and subsurface flow components of the hydrologic cycle and account for the impact of lateral flow on moisture redistribution at the land surface. One such model is the Weather Research and Forecasting (WRF) regional atmospheric model that can be coupled to the WRF-Hydro hydrologic model. In the present study, both the uncoupled WRF (WRF-ARW) and otherwise identical WRF-Hydro model are executed for the 2017 and 2018 summertime North American monsoon (NAM) seasons in semiarid central Arizona. In this environment, diurnal convection is impacted by precipitation recycling from the land surface. The goal of this work is to evaluate the impacts that surface runoff and shallow subsurface flow, as depicted in WRF-Hydro, have on surface–atmosphere interactions and convection in a coupled atmospheric simulation. The current work assesses the impact of surface hydrologic processes on 1) local surface energy budgets during the NAM throughout Arizona and 2) the spectral behavior of diurnally driven NAM convection. Model results suggest that adding surface and subsurface flow from WRF-Hydro increases soil moisture and latent heat near the surface. This increases the amount of instability and moisture available for deep convection in the model simulations and enhances the organization of convection at the peak of the diurnal cycle.

scholarly journals A high-resolution simulation of groundwater and surface water over most of the continental US with the integrated hydrologic model ParFlow v3

2015 ◽  
Vol 8 (3) ◽  
pp. 923-937 ◽  
Author(s):  
R. M. Maxwell ◽  
L. E. Condon ◽  
S. J. Kollet
Keyword(s):  
High Resolution ◽  
Large Scale ◽  
Numerical Models ◽  
Subsurface Flow ◽  
Hydrologic Model ◽  
Grand Challenge ◽  
Flow Equations ◽  
Continental Scale ◽  
Integrated Hydrologic Model ◽  
Surface And Subsurface Flow

Abstract. Interactions between surface and groundwater systems are well-established theoretically and observationally. While numerical models that solve both surface and subsurface flow equations in a single framework (matrix) are increasingly being applied, computational limitations have restricted their use to local and regional studies. Regional or watershed-scale simulations have been effective tools for understanding hydrologic processes; however, there are still many questions, such as the adaptation of water resources to anthropogenic stressors and climate variability, that can only be answered across large spatial extents at high resolution. In response to this grand challenge in hydrology, we present the results of a parallel, integrated hydrologic model simulating surface and subsurface flow at high spatial resolution (1 km) over much of continental North America (~ 6.3 M km2). These simulations provide integrated predictions of hydrologic states and fluxes, namely, water table depth and streamflow, at very large scale and high resolution. The physics-based modeling approach used here requires limited parameterizations and relies only on more fundamental inputs such as topography, hydrogeologic properties and climate forcing. Results are compared to observations and provide mechanistic insight into hydrologic process interaction. This study demonstrates both the feasibility of continental-scale integrated models and their utility for improving our understanding of large-scale hydrologic systems; the combination of high resolution and large spatial extent facilitates analysis of scaling relationships using model outputs.

scholarly journals Simulation of groundwater and surface water over the continental US using a hyperresolution, integrated hydrologic model

2014 ◽  
Vol 7 (6) ◽  
pp. 7317-7349 ◽  
Author(s):  
R. M. Maxwell ◽  
L. E. Condon ◽  
S. J. Kollet
Keyword(s):  
High Resolution ◽  
Large Scale ◽  
Numerical Models ◽  
Subsurface Flow ◽  
Hydrologic Model ◽  
Grand Challenge ◽  
Flow Equations ◽  
Continental Scale ◽  
Integrated Hydrologic Model ◽  
Surface And Subsurface Flow

Abstract. Interactions between surface and groundwater systems are well-established theoretically and observationally. While numerical models that solve both surface and subsurface flow equations in a single framework (matrix) are increasingly being applied, computational limitations have restricted their use to local and regional studies. Regional or watershed, scale simulations have been effective tools in understanding hydrologic processes, however there are still many questions, such as the adaptation of water resources to anthropogenic stressors and climate variability, that need to be answered across large spatial extents at high resolution. In response to this "grand challenge" in hydrology, we present the results of a parallel, integrated hydrologic model simulating surface and subsurface flow at high spatial resolution (1 km) over much of continental North America (~ 6 300 000 or 6.3 million km2). These simulations provide predictions of hydrologic states and fluxes, namely water table depth and streamflow, at unprecedented scale and resolution. The physically-based modeling approach used here requires limited parameterizations and relies only on more fundamental inputs, such as topography, hydrogeologic properties and climate forcing. Results are compared to observations and provide mechanistic insight into hydrologic process interaction. This study demonstrates both the feasibility of continental scale integrated models and their utility for improving our understanding of large-scale hydrologic systems; the combination of high resolution and large spatial extent facilitates novel analysis of scaling relationships using model outputs.

scholarly journals Scale problems in assessment of hydrogeological parameters of groundwater flow models

Geologos ◽  
2015 ◽  
Vol 21 (3) ◽  
pp. 179-185 ◽  
Author(s):  
Marek Nawalany ◽  
Grzegorz Sinicyn
Keyword(s):  
Groundwater Flow ◽  
System Analysis ◽  
Numerical Models ◽  
Regional Scale ◽  
Local Scale ◽  
Spatial Continuity ◽  
Flow Equations ◽  
Macro Scale ◽  
Scale Models ◽  
Hydrogeological System

Abstract An overview is presented of scale problems in groundwater flow, with emphasis on upscaling of hydraulic conductivity, being a brief summary of the conventional upscaling approach with some attention paid to recently emerged approaches. The focus is on essential aspects which may be an advantage in comparison to the occasionally extremely extensive summaries presented in the literature. In the present paper the concept of scale is introduced as an indispensable part of system analysis applied to hydrogeology. The concept is illustrated with a simple hydrogeological system for which definitions of four major ingredients of scale are presented: (i) spatial extent and geometry of hydrogeological system, (ii) spatial continuity and granularity of both natural and man-made objects within the system, (iii) duration of the system and (iv) continuity/granularity of natural and man-related variables of groundwater flow system. Scales used in hydrogeology are categorised into five classes: micro-scale – scale of pores, meso-scale – scale of laboratory sample, macro-scale – scale of typical blocks in numerical models of groundwater flow, local-scale – scale of an aquifer/aquitard and regional-scale – scale of series of aquifers and aquitards. Variables, parameters and groundwater flow equations for the three lowest scales, i.e., pore-scale, sample-scale and (numerical) block-scale, are discussed in detail, with the aim to justify physically deterministic procedures of upscaling from finer to coarser scales (stochastic issues of upscaling are not discussed here). Since the procedure of transition from sample-scale to block-scale is physically well based, it is a good candidate for upscaling block-scale models to local-scale models and likewise for upscaling local-scale models to regional-scale models. Also the latest results in downscaling from block-scale to sample scale are briefly referred to.

Sign in / Sign up

Export Citation Format

Share Document