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

Title: Investigation of Gravity-Driven Infiltration Instabilities in Smooth and Rough Fractures Using a Pairwise-Force Smoothed Particle Hydrodynamics Model

Journal Article · · Vadose Zone Journal
 [1];  [2];  [1]
  1. Univ. of Goettingen (Germany)
  2. Pacific Northwest National Lab. (PNNL), Richland, WA (United States)

In this work, we use a three-dimensional multiphase pairwise-force smoothed particle hydrodynamics (PF-SPH) method to simulate infiltration dynamics in smooth and rough fractures. We investigate the influence of roughness and injection rate on the fluid flow profile and flow velocity. Three types of fractures are considered with different degrees of roughness, including a smooth fracture. Both the rough and smooth fractures exhibit flow instability, fingering, and intermittent flow regimes for low infiltration rates. A stable fluid profile only is achieved for high fluxes when fractures are fully saturated. In all considered fractures, the mean flow velocity exponentially increases with increasing infiltration rate. To characterize the flow instability, we calculate standard deviations of the velocity in different sections of the fracture relative to the mean flow velocity. For the considered infiltration rates, we find that roughness decreases the flow velocity and increases the velocity standard deviations. Hence, we observe that the likelihood of discontinuities in flow regimes increases with the degree of roughness.

Research Organization:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-76RL01830
OSTI ID:
1572665
Report Number(s):
PNNL-SA-137935; TRN: US2100338
Journal Information:
Vadose Zone Journal, Vol. 18, Issue 1; ISSN 1539-1663
Publisher:
Soil Science Society of AmericaCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

References (50)

Scaling properties of cracks journal May 1997
Fractal Dimension of Fractured Surfaces: A Universal Value? journal September 1990
Numerical modeling of the effects of roughness on flow and eddy formation in fractures journal February 2017
Experimental observation of fluid flow channels in a single fracture journal March 1998
Nonlocal Interface Dynamics and Pattern Formation in Gravity-Driven Unsaturated Flow through Porous Media journal December 2008
Characterizing rock joint geometry with joint system models journal January 1988
Lateral expansion of preferential flow paths in sands journal February 1999
On the cubic law and variably saturated flow through discrete open rough-walled discontinuities journal November 2016
Lattice Boltzmann Simulation of Fluid Flow in Synthetic Fractures journal December 2006
Quantification of temporal distribution of recharge in karst systems from spring hydrographs journal January 2008
Constraints for flow regimes on smooth fracture surfaces: CONSTRAINTS FOR FLOW REGIMES journal November 2004
Flow diversion around cavities in fractured media: TECHNICAL NOTE journal November 2005
Variably saturated groundwater modelling for optimizing managed aquifer recharge using trench infiltration: VARIABLY SATURATED MODELLING FOR OPTIMIZING TRENCH INFILTRATION journal January 2015
Smooth particle hydrodynamics simulations of low Reynolds number flows through porous media
  • Holmes, David W.; Williams, John R.; Tilke, Peter
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 35, Issue 4 https://doi.org/10.1002/nag.898
journal February 2011
dfnWorks: A discrete fracture network framework for modeling subsurface flow and transport journal November 2015
Partially to fully saturated flow through smooth, clean, open fractures: qualitative experimental studies journal November 2017
Permeability and percolation of anisotropic three-dimensional fracture networks journal May 2008
Effect of Unsaturated Flow Modes on Partitioning Dynamics of Gravity-Driven Flow at a Simple Fracture Intersection: Laboratory Study and Three-Dimensional Smoothed Particle Hydrodynamics Simulations: FLOW IN UNSATURATED FRACTURED MEDIA journal November 2017
Simulation of saturated and unsaturated flow in karst systems at catchment scale using a double continuum approach journal January 2012
A smoothed particle hydrodynamics model for droplet and film flow on smooth and rough fracture surfaces journal September 2013
Laboratory Investigation of Flow Paths in 3D Self-Affine Fractures with Lattice Boltzmann Simulations journal January 2018
High Strain Lagrangian Hydrodynamics journal November 1993
An active fracture model for unsaturated flow and transport in fractured rocks journal October 1998
The Active Fracture Model: Its Relation to Fractal Flow Patterns and an Evaluation Using Field Observations journal May 2003
Modeling Low Reynolds Number Incompressible Flows Using SPH journal September 1997
Macroscopic permeability of three-dimensional fracture networks with power-law size distribution journal June 2004
Infiltration into an Analog Fracture journal January 2005
Gravity-driven infiltration instability in initially dry nonhorizontal fractures journal September 1994
Saturated flow in a single fracture: evaluation of the Reynolds Equation in measured aperture fields journal November 1999
Theory for Source-Responsive and Free-Surface Film Modeling of Unsaturated Flow journal May 2010
Preferential flow occurs in unsaturated conditions: INVITED COMMENTARY journal December 2011
Stereological analysis of fractures in the Roselend tunnel and permeability determination: STEREOLOGY IN THE ROSELEND TUNNEL journal September 2007
Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Two-Dimensional Scaling Properties of Experimental Fracture Surfaces journal January 2006
Smoothed particle hydrodynamics study of the roughness effect on contact angle and droplet flow journal September 2017
Lagrangian particle model for multiphase flows journal October 2009
Modeling of surface tension and contact angles with smoothed particle hydrodynamics journal August 2005
Simulation of Unsaturated Flow in Complex Fractures Using Smoothed Particle Hydrodynamics journal January 2005
Pore scale modeling of immiscible and miscible fluid flows using smoothed particle hydrodynamics journal October 2006
Pairwise Force Smoothed Particle Hydrodynamics model for multiphase flow: Surface tension and contact line dynamics journal January 2016
Three-dimensional analysis of variably-saturated flow and solute transport in discretely-fractured porous media journal June 1996
Water film flow along fracture surfaces of porous rock journal June 1997
Surface-zone flow along unsaturated rock fractures journal February 2001
Hydrologic Mechanisms Governing Fluid Flow in a Partially Saturated, Fractured, Porous Medium journal December 1985
Modification of the L ocal C ubic L aw of fracture flow for weak inertia, tortuosity, and roughness journal April 2015
Influence of surface roughness on nonlinear flow behaviors in 3D self-affine rough fractures: Lattice Boltzmann simulations journal October 2016
Unstable Flow during Redistribution in Homogeneous Soil journal January 2003
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree journal December 1995
A triple-continuum approach for modeling flow and transport processes in fractured rock journal September 2004
A pore-scale numerical model for flow through porous media journal August 1999