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List of Notation

P - pressure

d - pore diameter

- mercury surface tension

- mercury contact angle

k - fluid permeability

- electrical conductivity

_o - electrolyte conductivity

d_c - threshold pore diameter

b,a - semi-minor, semi-major axes of elliptical pore

l_o - lattice tube length

K_t - exact hydraulic conductance of elliptical pore

d_e - diameter of effective circular pore

K_e - hydraulic conductance of effective circular pore

_t - exact conductance of elliptical pore

_e - conductance of effective circular pore

f(b) - probability density for semi-minor axes on tube network

p(b) - fraction of tubes in network with semi-minor axis greater than b

p_c - threshold for bond percolation of network

b_c - semi-minor axis cutoff corresponding to p_c on tube network