Particle radius from microstructure data using total volume and total surface area

Hello,

I am parameterising a DFN model in PyBaMM using microstructure data. From the segmented image I can compute the positive electrode active material volume fraction (\epsilon_s = V_{AM} / V_{electrode}) and the active material–electrolyte interfacial area per electrode volume (a = A_{AM|pore} / V_{electrode}). In the PyBaMM code the specific surface area is computed assuming spherical particles as a = 3 * \epsilon_s / R_{typ}, where R_{typ} corresponds to “Positive particle radius [m]”. To make the DFN surface area consistent with the measured microstructure, is the correct approach to set “Positive particle radius [m]” to R_{typ} = 3 * \epsilon_s / a (equivalently R_{typ} = 3 * V_{AM} / A_{AM|pore})?

Thanks in advance!