Simulating Flow in Heterogeneous Systems Using Streamtubes and Streamlines

Thiele, Marco R.; Batycky, Rod P.; Blunt, Martin J.; Orr, Franklin M.

doi:10.2118/27834-pa

Cited by 126 publications

(61 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We can recast Equation 3 into a 1D framework by considering the following characteristic curves or streamlines (e.g., Muskat and Wyckoff, 1934;Cvetkovic and Dagan, 1994;Thiele et al, 1996),…”

Section: Saturation Distribution Estimation Via Stochastic Streamlinesmentioning

confidence: 99%

An efficient distribution method for nonlinear two-phase flow in highly heterogeneous multidimensional stochastic porous media

Ibrahima

Meyer

2017

Comput Geosci

View full text Add to dashboard Cite

In the context of stochastic two-phase flow in porous media, we introduce a novel and efficient method to estimate the probability distribution of the wetting saturation field under uncertain rock properties in highly heterogeneous porous systems, where streamline patterns are dominated by permeability heterogeneity, and for slow displacement processes (viscosity ratio close to unity). Our method, referred to as the frozen streamline distribution method (FROST), is based on a physical understanding of the stochastic problem. Indeed, we identify key random fields that guide the wetting saturation variability, namely fluid particle times of flight and injection times. By comparing saturation statistics against full-physics Monte Carlo simulations, we illustrate how this simple, yet accurate FROST method performs under the preliminary approximation of frozen streamlines. Further, we inspect the performance of an accelerated FROST variant that relies on a simplification about injection time statistics. Finally, we introduce how quantiles of saturation can be efficiently computed within the FROST framework, hence leading to robust uncertainty assessment.

show abstract

Section: Saturation Distribution Estimation Via Stochastic Streamlinesmentioning

confidence: 99%

An efficient distribution method for nonlinear two-phase flow in highly heterogeneous multidimensional stochastic porous media

Ibrahima

Meyer

2017

Comput Geosci

View full text Add to dashboard Cite

show abstract

“…Along the direction of irrotational flow, the convection equation for incompressible fluids is (3) where C is the concentration, s the arc length along the flow direction, φ the porosity, and u the superficial velocity. When u is a function of s, the concept of time of flight (TOF) τ is of use.…”

Section: Convection Equationmentioning

confidence: 99%

Inclusion of Hydrodynamic Dispersion in Fluid Flow Computations Using the Complex Variable Boundary Element Method

Satô¹

2003

J. Jpn. Petrol. Inst.

View full text Add to dashboard Cite

The complex variable boundary element method (CVBEM) has been successfully applied to convective flow problems. This study aims at extending the applicability of the CVBEM to convective-dispersive flow problems. In order to utilize the analytical solutions obtained for one-dimensional (1D) problems, two-dimensional (2D) transport is decomposed into transport along multiple 1D streamlines. Varying velocity along the streamlines can be taken into account with a set of coordinate transformations τ and ω. The CVBEM is suitable for streamline tracking and yields accurate evaluations of τ and ω. Along each streamline, 1D transport is analytically modeled, and the complete 2D solution is recovered by combining the individual 1D solutions. The developed method is verified against a diverging radial flow problem and applied to some example problems. Tracer concentration profiles and effluent concentration curves, which can directly be constructed from the analytical solutions, are of use for evaluating hydrodynamic characteristics.

show abstract

“…In this approach, a three-dimensional transport problem is recast into a large number of independent one-dimensional reactive transport simulations that correspond in a one-to-one fashion to a large number of streamlines that have been extracted from a simulated three-dimensional flow field [6,12,13] developed on a regular, fixed grid.…”

Section: Streamline Transport Modelmentioning

confidence: 99%

“…Along each streamline, the one-dimensional simulations were based upon the GIMRT reactive transport model [14], reconfigured in a "time-of-flight" formulation [6,12]:…”

Section: Streamline Transport Modelmentioning

confidence: 99%

See 1 more Smart Citation

Simulation of Radionuclide Migration in Groundwater Away From an Underground Nuclear Test

Tompson

Bruton

Bourcier

et al. 1999

MRS Online Proceedings Library

View full text Add to dashboard Cite

Reactive transport simulations are being used to evaluate the nature and extent of radionuclide contamination within alluvium surrounding an underground nuclear test at the Nevada Test Site (NTS). Simulations are focused on determining the abundance and chemical nature of radionuclides that are introduced into groundwater, as well as the rate and extent of radionuclide migration and reaction in groundwater surrounding the working point of the test. Transport simulations based upon a streamline-based numerical model are used to illustrate the nature of radionuclide elution out of the near-field environment and illustrate the conceptual modeling process. The numerical approach allowed for relatively complex flow and chemical reactions to be considered in a computationally efficient manner. The results are particularly sensitive to the rate of melt glass dissolution, distribution of reactive minerals in the alluvium, and overall groundwater flow configuration. They provide a rational basis from which defensible migration assessments can proceed.

show abstract

Simulating Flow in Heterogeneous Systems Using Streamtubes and Streamlines

Cited by 126 publications

References 20 publications

An efficient distribution method for nonlinear two-phase flow in highly heterogeneous multidimensional stochastic porous media

An efficient distribution method for nonlinear two-phase flow in highly heterogeneous multidimensional stochastic porous media

Inclusion of Hydrodynamic Dispersion in Fluid Flow Computations Using the Complex Variable Boundary Element Method

Simulation of Radionuclide Migration in Groundwater Away From an Underground Nuclear Test

Contact Info

Product

Resources

About