  Unsaturated hydraulic ($K$) and electrical ($\sigma_b$) conductivity are
often considered durability indicators of cement-based materials. However, $K$
is difficult to measure experimentally. This is due to the large pressure
requirements at low degrees of saturation resulting from the fine pore-size
distribution of cement-based materials. As a result, the commonly-used
analytical models, requiring calibration of $K$ from experimental data, are
often inaccurate at low degrees of saturation. On the other hand, measuring
$\sigma_b$ is rather straight forward. Descriptions of the relationship between
$\sigma_b$ and $K$ may therefore be particularly valuable when $K$ is required.
In this work, we use experimental data from previous works to determine the
feasibility of models employing a van Genuchten-Mualem based framework to
predict $K$ and $\sigma_b$ -- expressions for diffusivity $D$ are also
provided. We then develop analytical expressions relating $K$ and $\sigma_b$
using these models. It is then shown that $K = K(\sigma_b)$ and $\sigma_b =
\sigma_b(K)$ may be determined when either parameter is fully described.
Lastly, we propose a simplified model and discuss the roles of pore-size
distribution, saturation, pore connectivity and tortuosity in characterizing
the relationship between $K$ and $\sigma_b$.
