WATER RESOURCES RESEARCH, VOL. ???, XXXX, DOI:10.1029/, Pedotransfer Functions for Permeability: A 1 Computational Study at Pore Scales 2 Jeffrey D. Hyman 1 , Piotr K. Smolarkiewicz 2 , C. Larrabee Winter 1,3 Jeffrey D. Hyman, Program in Applied Mathematics, University of Arizona, Mathematics Building, Tucson, AZ, 85721, USA. (jhyman@math.arizona.edu) Piotr K. Smolarkiewicz, Mesoscale and Microscale Meteorology Division, National Center for Atmospheric Research, Boulder, CO, 80307, USA. (smolar@ucar.edu) C. Larrabee Winter, Department of Hydrology and Water Resources, Program in Applied Mathematics, University of Arizona, Harshbarger Building 11, Tucson, AZ, 85721, USA. (win- ter@email.arizona.edu) 1 University of Arizona, Program in Applied Mathematics, Tucson, AZ, 85721, USA. 2 National Center for Atmospheric Research, Boulder, CO, 80307, USA. 3 Department of Hydrology and Water Resources,University of Arizona, Tucson, AZ, 85721, USA. DRAFT March 21, 2013, 9:34am DRAFT