skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: An Analysis Platform for Multiscale Hydrogeologic Modeling with Emphasis on Hybrid Multiscale Methods

Journal Article · · Ground Water, 53(1):38-56
DOI:https://doi.org/10.1111/gwat.12179· OSTI ID:1170048

One of the most significant challenges facing hydrogeologic modelers is the disparity between those spatial and temporal scales at which fundamental flow, transport and reaction processes can best be understood and quantified (e.g., microscopic to pore scales, seconds to days) and those at which practical model predictions are needed (e.g., plume to aquifer scales, years to centuries). While the multiscale nature of hydrogeologic problems is widely recognized, technological limitations in computational and characterization restrict most practical modeling efforts to fairly coarse representations of heterogeneous properties and processes. For some modern problems, the necessary level of simplification is such that model parameters may lose physical meaning and model predictive ability is questionable for any conditions other than those to which the model was calibrated. Recently, there has been broad interest across a wide range of scientific and engineering disciplines in simulation approaches that more rigorously account for the multiscale nature of systems of interest. In this paper, we review a number of such approaches and propose a classification scheme for defining different types of multiscale simulation methods and those classes of problems to which they are most applicable. Our classification scheme is presented in terms of a flow chart (Multiscale Analysis Platform or MAP), and defines several different motifs of multiscale simulation. Within each motif, the member methods are reviewed and example applications are discussed. We focus attention on hybrid multiscale methods, in which two or more models with different physics described at fundamentally different scales are directly coupled within a single simulation. Very recently these methods have begun to be applied to groundwater flow and transport simulations, and we discuss these applications in the context of our classification scheme. As computational and characterization capabilities continue to improve, we envision that hybrid multiscale modeling will become more common and may become a viable alternative to conventional single-scale models in the near future.

Research Organization:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States). Environmental Molecular Sciences Laboratory (EMSL)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC05-76RL01830
OSTI ID:
1170048
Report Number(s):
PNNL-SA-93006; 24097; KP1702030
Journal Information:
Ground Water, 53(1):38-56, Journal Name: Ground Water, 53(1):38-56
Country of Publication:
United States
Language:
English

References (136)

Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels journal March 2005
Dynamically Spanning the Length Scales from the Quantum to the Continuum journal September 2000
Spanning the length scales in dynamic simulation journal January 1998
Algorithm refinement for stochastic partial differential equations: II. Correlated systems journal August 2005
Noise in Algorithm Refinement Methods journal May 2005
Algorithm Refinement for Stochastic Partial Differential Equations journal October 2002
A Multiscale Mortar Mixed Finite Element Method journal January 2007
A Multiscale Model of Biofilm as a Senescence‐Structured Fluid journal January 2007
Parallel-in-time molecular-dynamics simulations journal November 2002
A “Parareal” Time Discretization for Non-Linear PDE’s with Application to the Pricing of an American Put book January 2002
Mortar coupling and upscaling of pore-scale models journal September 2007
Coupling pore-scale networks to continuum-scale models of porous media journal March 2007
Applicability regimes for macroscopic models of reactive transport in porous media journal March 2011
Hybrid models of reactive transport in porous and fractured media journal September 2011
On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media journal November 2009
Adaptive multiscale modeling of polymeric materials with Arlequin coupling and Goals algorithms journal January 2009
The Operational Significance of the Continuum Hypothesis in the Theory of Water Movement Through Soils and Aquifers journal May 1984
Coupling Methods for Continuum Model with Molecular Model journal January 2003
The Mortar finite element method with Lagrange multipliers journal December 1999
Application of a fractional advection-dispersion equation journal February 2000
Multilevel Adaptive Particle Methods for Convection-Diffusion Equations journal January 2005
Modeling non-Fickian transport in geological formations as a continuous time random walk journal January 2006
Searching for the Holy Grail of scientific hydrology: <i>Q<sub>t</sub></i>=(<i>S, R, Δt</i>)<i>A</i> as closure journal January 2006
Homogenizability conditions for multicomponent reactive transport journal December 2013
Adaptive Local–Global Upscaling for General Flow Scenarios in Heterogeneous Formations journal February 2006
Tenth SPE Comparative Solution Project: A Comparison of Upscaling Techniques journal August 2001
Numerical simulation of biodegradation controlled by transverse mixing journal December 1999
Atomistic/continuum coupling in computational materials science journal April 2003
On Measurement, Scale, and Scaling journal February 1986
On unifying the concepts of scale, instrumentation, and stochastics in the development of multiphase transport theory journal November 1984
A primer on upscaling tools for porous media journal August 2002
Nonlocal dispersion in media with continuously evolving scales of heterogeneity journal October 1993
On dispersion in fractal porous media journal October 1993
Mixing, spreading and reaction in heterogeneous media: A brief review journal March 2011
A general strategy for designing seamless multiscale methods journal August 2009
Heterogeneous multiscale method: A general methodology for multiscale modeling journal March 2003
Nonlocal Field Theories book January 1976
An A Posteriori–A Priori Analysis of Multiscale Operator Splitting journal January 2008
Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications journal January 2003
Algorithms for bridging scale method parameters journal February 2007
Coupling particles and fields in a diffusive hybrid model journal November 2001
Multi-element probabilistic collocation method in high dimensions journal March 2010
Time-parallel multiscale/multiphysics framework journal November 2009
Wavelet-based Spatiotemporal Multiscaling in Diffusion Problems with Chemically Reactive Boundary journal January 2006
Wavelet-based spatial and temporal multiscaling: Bridging the atomistic and continuum space and time scales journal July 2003
A comparative review of upscaling methods for solute transport in heterogeneous porous media journal November 2008
Multiscale Coupling of Molecular Dynamics and Hydrodynamics: Application to DNA Translocation through a Nanopore journal January 2006
Adaptive Mesh and Algorithm Refinement Using Direct Simulation Monte Carlo journal September 1999
The gap-tooth method in particle simulations journal September 2003
A new representation of the strain field associated with the cube‐edge dislocation in a model of a α‐iron journal October 1972
Complexity journal November 2006
Coupling Cloud Processes with the Large-Scale Dynamics Using the Cloud-Resolving Convection Parameterization (CRCP) journal May 2001
Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 1. Motivation and overview journal February 2005
Simulating the heterogeneity in braided channel belt deposits: 2. Examples of results and comparison to natural deposits: HETEROGENEITY IN CHANNEL BELT DEPOSITS journal April 2010
Heterogeneous Atomistic-Continuum Representations for Dense Fluid Systems journal August 1997
Analysis of Composite Materials—A Survey journal September 1983
The Practical Use of Simplicity in Developing Ground Water Models journal November 2006
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media journal June 1997
Patch Dynamics for Multiscale Problems journal May 2005
Classification and analysis of integrating frameworks in multiscale modelling journal June 2004
Multi-scale finite-volume method for elliptic problems in subsurface flow simulation journal May 2003
Equation-Free Multiscale Computation: Algorithms and Applications journal May 2009
Equation-Free, Coarse-Grained Multiscale Computation: Enabling Mocroscopic Simulators to Perform System-Level Analysis journal January 2003
Multiphysics simulations: Challenges and opportunities journal February 2013
Comparison of continuum and pore-scale models of nutrient biodegradation under transverse mixing conditions journal June 2007
Nonlocal dispersion in porous media: Nonmechanical effects journal January 1987
A mesoscopic bridging scale method for fluids and coupling dissipative particle dynamics with continuum finite element method journal January 2008
Multiscale flow Simulations Using Particles journal January 2005
Towards Multiscale Modeling of Metals via Embedded Particle Computer Simulation journal January 2003
An adaptive multiscale method for density-driven instabilities journal July 2012
Accuracy of Hybrid Lattice Boltzmann/Finite Difference Schemes for Reaction-Diffusion Systems journal January 2007
Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme journal January 2003
Coupling continuum to molecular-dynamics simulation: Reflecting particle method and the field estimator journal June 1998
Numerical Studies of Three-dimensional Stochastic Darcy’s Equation and Stochastic Advection-Diffusion-Dispersion Equation journal January 2010
An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media journal May 2009
A multilevel multiscale mimetic (M3) method for two-phase flows in porous media journal July 2008
Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum journal August 2010
Bridging scale methods for nanomechanics and materials journal February 2006
An introduction to computational nanomechanics and materials journal May 2004
Multiscale-linking simulation of irreversible colloidal deposition in the presence of DLVO interactions journal May 2006
A Multiscale-Linking Algorithm for the Simulation of Irreversible Deposition journal January 2004
How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension journal May 1967
Modeling and Simulation of Multiphysics Systems journal January 2005
Multiphase flow and transport modeling in heterogeneous porous media: challenges and approaches journal March 1998
Uncertainty analysis for pedotransfer functions journal September 2002
Wavelet-Based Spatial Scaling of Coupled Reaction-Diffusion Fields journal January 2008
A Mixed Scheme for Subgrid-Scale Fluxes in Cloud-Resolving Models journal November 2010
Dynamic compound wavelet matrix method for multiphysics and multiscale problems journal February 2008
Eulerian-Lagrangian Theory of transport in space-time nonstationary velocity fields: Exact nonlocal formalism by conditional moments and weak approximation journal March 1993
Perspective on theories of non-Fickian transport in heterogeneous media journal May 2009
Multifaceted nature of hydrogeologic scaling and its interpretation journal January 2003
MultiScale Modeling of Physical Phenomena: Adaptive Control of Models journal January 2006
Efficient data IO for a Parallel Global Cloud Resolving Model journal December 2011
A mixed hybrid Mortar method for solving flow in discrete fracture networks journal October 2010
Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations journal January 2003
Coupling of mesh-free methods with finite elements: basic concepts and test results journal April 2006
Recent developments on multiscale, hierarchical modeling of chemical reactors journal November 2002
Experimental Study of Bimolecular Reaction Kinetics in Porous Media journal April 2000
Simulating the heterogeneity in braided channel belt deposits: 1. A geometric-based methodology and code: HETEROGENEITY IN CHANNEL BELT DEPOSITS journal April 2010
Breaking the Cloud Parameterization Deadlock journal November 2003
Heterogeneous multiscale method for the modeling of complex fluids and micro-fluidics journal March 2005
A Rigorous Pore-to-Field-Scale Simulation Method for Single-Phase Flow Based on Continuous-Time Random Walks journal March 2009
Pore-to-field simulation of single-phase transport using continuous time random walks journal December 2008
An exact particle tracking algorithm for advective-dispersive transport in networks with complete mixing at nodes: PARTICLE TRACKING ALGORITHM journal April 2006
Application of Coarse Integration to Bacterial Chemotaxis journal January 2005
Dynamic coupling of pore-scale and reservoir-scale models for multiphase flow: DYNAMIC COUPLING OF PORE-SCALE AND RESERVOIR-SCALE MODELS journal September 2013
Hybrid Multiscale Modeling through Direct Substitution of Pore-Scale Models into Near-Well Reservoir Simulators journal August 2012
Pore to continuum upscaling of permeability in heterogeneous porous media using mortars journal January 2012
A hybrid continuum/particle approach for modeling subsonic, rarefied gas flows journal February 2004
PDF equations for advective–reactive transport in heterogeneous porous media with uncertain properties journal March 2011
Dimension reduction numerical closure method for advection–diffusion-reaction systems journal December 2011
Dimension reduction method for ODE fluid models journal September 2011
Hybrid Simulations of Reaction-Diffusion Systems in Porous Media journal January 2008
Mixing-induced precipitation: Experimental study and multiscale numerical analysis: MIXING-INDUCED PRECIPITATION journal June 2008
Guest Editors' Introduction: Multiphysics Modeling journal May 2005
Multiscale Method for Simulating Protein-DNA Complexes journal January 2004
The role of macroscopic transport phenomena in film microstructure during epitaxial growth journal May 1999
Hierarchical multiscale model-based design of experiments, catalysts, and reactors for fuel processing journal September 2006
Coupling of atomistic and continuum simulations using a bridging scale decomposition journal September 2003
Hierarchical enrichment for bridging scales and mesh-free boundary conditions journal January 2001
Uncertainty quantification in kinematic-wave models journal October 2012
Multiscale modeling and related hybrid approaches journal February 2006
Efficient 3D Implementation of Local-Global Upscaling for Reservoir Simulation journal December 2006
Hybrid atomistic–continuum method for the simulation of dense fluid flows journal May 2005
Three-dimensional Hybrid Continuum-Atomistic Simulations For Multiscale Hydrodynamics journal September 2004
The role of scaling laws in upscaling journal May 2009
Volume averaging: Local and nonlocal closures using a Green’s function approach journal January 2013
A bridging domain method for coupling continua with molecular dynamics journal May 2004
An Equation-Free, Multiscale Approach to Uncertainty Quantification journal May 2005
A Continuum-Microscopic Algorithm for Modeling Fibrous, Heterogeneous Media with Dynamic Microstructures journal January 2011
Analysis of the accuracy and convergence of equation-free projection to a slow manifold journal July 2009
Equivalent hydraulic conductivity of an experimental stratigraphy: Implications for basin-scale flow simulations: EQUIVALENT CONDUCTIVITY OF EXPERIMENTAL STRATIGRAPHY journal May 2006
Space-fractional advection-dispersion equations with variable parameters: Diverse formulas, numerical solutions, and application to the Macrodispersion Experiment site data: SPATIAL FADE WITH VARIABLE PARAMETERS journal May 2007
Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme journal January 2007
Recent Developments on Multiscale, Hierarchical Modeling of Chemical Reactors journal February 2003
Algorithm Refinement for Stochastic Partial Differential Equations conference January 2003

Cited By (3)

Downscaling-Based Segmentation for Unresolved Images of Highly Heterogeneous Granular Porous Samples journal April 2018
Multi-scale Model of Reactive Transport in Fractured Media: Diffusion Limitations on Rates journal March 2019
Multiscale Method for Oseen Problem in Porous Media with Non-periodic Grain Patterns journal September 2016

Similar Records

An Analysis Platform for Multiscale Hydrogeologic Modeling with Emphasis on Hybrid Multiscale Methods
Journal Article · Thu Mar 13 00:00:00 EDT 2014 · Ground Water · OSTI ID:1170048

Fluid simulations with atomistic resolution: a hybrid multiscale method with field-wise coupling
Journal Article · Sun Dec 15 00:00:00 EST 2013 · Journal of Computational Physics · OSTI ID:1170048

A Hybrid Multiscale Framework for Subsurface Flow and Transport Simulations
Journal Article · Mon Jun 01 00:00:00 EDT 2015 · Procedia Computer Science · OSTI ID:1170048