Los Alamos is planning a new compact multi-pulsed electron linear induction accelerator (LIA) for flash radiography of explosively driven hydrodynamic experiments, the Advanced Radiography Induction Accelerator (ARIA). In order to operate in multi-pulse mode without the need to reset the inductor cores between each pulse, the design incorporates amorphous metallic glass cores. Due to their high magnetic saturation value, these provide enough volt-seconds for sequential pulsing before reaching saturation. Although metallic glass cores are used extensively, their behavior depends greatly on the particular formulation and on the specific application. For this reason, we have undertaken an effort to better characterize the cores under consideration and use this data to develop models that can be used in EM simulations. We present the characterization of two types of cores being considered: Metglas 2605CO and 2605HB1M cores. We include detailed measurements of BH curves at various magnetization rates, measurements of multiple pulses on the same core, and initial modeling efforts.