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sph -- non constant diffusion

hi everyone,

I would like to write a SPH code for grondwater flow. I have a Big problem I have to deal with a non constant diffusion tensor.

In case of constant diffusion the equation seems simple:

$\frac{d C_i}{dt} = \sum \frac{m_j}{\rho_i \rho_j}(D_i + D_j)(\rho_i - rho_j) .....$

How can I do when I have a non constant diffusion tensor D(x,y,z)?

thank you very much