Solute Transport in Natural Fractures Based on Digital Image Technology

A method of fracture boundary extraction was developed using the Gaussian template and Canny boundary detection on the basis of the collected digital images of natural fractures. The roughness and apertures of the fractures were briefly discussed from the point of view of digital image analysis. The extracted fractured image was translated into a lattice image which can be directly used in numerical simulation. The lattice Boltzmann and modified moment propagation mixed method was then applied to the simulation of solute transport in a natural single fracture, and this mixed method could take the advantages of the lattice Boltzmann method in dealing with complex physical boundaries. The obtained concentrations was fitted with the CXTFIT2.1 code and compared with the results obtained with the commercial software Feflow. The comparison indicates that the simulation using the mixed method is sound.

[1]  Yali Duan,et al.  Lattice Boltzmann Simulations of Triagular Cavity Flow and Free-Surface Problems , 2007 .

[2]  Zanetti,et al.  Use of the Boltzmann equation to simulate lattice gas automata. , 1988, Physical review letters.

[3]  J. Bear Dynamics of Fluids in Porous Media , 1975 .

[4]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  Wei Shyy,et al.  Lattice Boltzmann Method for 3-D Flows with Curved Boundary , 2000 .

[6]  Y. Qian,et al.  A Lattice Boltzmann Method for Simulation of a Three-Dimensional Drop Impact on a Liquid Film , 2008 .

[7]  Zhou Zhifang Understanding and treatment of digital images of dye tracers in solute transport experiments , 2007 .

[8]  John W. Crawford,et al.  A lattice BGK model for advection and anisotropic dispersion equation , 2002 .

[9]  D. Wolf-Gladrow Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction , 2000 .

[10]  Peter M. A. Sloot,et al.  The moment propagation method for advection-diffusion in the lattice Boltzmann method: validation and péclet number limits , 2002 .

[11]  Goodarz Ahmadi,et al.  A new friction factor correlation for laminar, single-phase flows through rock fractures , 2006 .

[12]  S. Bao Research on the behavior of fluid flow in a single fracture and its equivalent hydraulic aperture , 2002 .

[13]  Patrick B. Warren,et al.  Electroviscous Transport Problems via Lattice-Boltzmann , 1997 .

[14]  Sait Ismail Ozkaya,et al.  Fracture connectivity from fracture intersections in borehole image logs , 2003 .

[15]  A. Genty,et al.  Dispersion dependence on retardation in a real fracture geometry using lattice-gas cellular automaton , 2007 .

[16]  Subhash C. Mishra,et al.  Lattice Boltzmann Method Applied to Variable Thermal Conductivity Conduction and Radiation Problems , 2006 .

[17]  Zhifang Zhou,et al.  Simulation of Solute Transport in a Parallel Single Fracture with LBM/MMP Mixed Method , 2008 .