Hydromechanical dispersion describes the distribution or mixing of heat in moving pore water. The heat flow through dispersion is also described using Fourier's law, based on heat conduction:

With:

j_disp = heat flow through dispersion [W]

D_d = symmetric dispersion tensor [m²/s]

A = cross-section of flow [m²]

c_w = specific heat capacity of the fluid [Ws/(kg K) = J/(kg K)]

ρ_w = density of the fluid [kg/m³]

= temperature gradient [K/m]

Energy transport equation