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Published online 16 August 2005
Published in Vadose Zone J 4:848-855 (2005)
DOI: 10.2136/vzj2004.0178
© 2005 Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
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Simulation of Unsaturated Flow in Complex Fractures Using Smoothed Particle Hydrodynamics

Alexandre M. Tartakovskya,* and Paul Meakinb

a Pacific Northwest National Lab., P.O. Box 999/MS K1-85, Richland, WA 99352
b Idaho National Lab., P.O. Box 1625, MS 2025, Idaho Falls, ID 83415-2025



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Fig. 1. The weighting function W.

 


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Fig. 2. The interaction force Fij acting between particles i and j.

 


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Fig. 3. Gravity-free oscillation of a fluid sphere initially deformed into an oblate shape. First row is a side view and second row is a top view.

 


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Fig. 4. Gravity-free oscillations of a fluid sphere initially deformed into a prolate shape. First row is a side view and second row is a top view.

 


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Fig. 5. Transient velocity profiles for flow between two parallel plates.

 


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Fig. 6. Fracture aperture field.

 


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Fig. 7. Sketch of a three-dimensional fracture. Fluid is injected along one edge of the fracture (at x = 0). Gravity acts in the x direction.

 


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Fig. 8. Injection of a nonwetting (light particles) fluid into a fracture. g = 0.01. The X-Z cross-section and the X-Y top view are shown at three different times. The dark particles are immobile particles modeling the walls of the fracture.

 


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Fig. 9. Injection of a nonwetting (light particles) fluid into a fracture. g = 0.0001. The X-Z cross-section and the X-Y top view are shown at three different times. The dark particles are immobile particles modeling the walls of the fracture.

 


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Fig. 10. Injection of a wetting (light particles) fluid into a fracture. g = 0.01. The X-Z cross-section and the X-Y top view are shown at three different times. The dark particles are immobile particles modeling the walls of the fracture.

 


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Fig. 11. Injection of a wetting (light particles) fluid into a fracture. g = 0.001. The X-Z cross-section and the X-Y top view are shown at three different times. The dark particles are immobile particles modeling the walls of the fracture.

 





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