Poroelastic and viscoelastic inversions in a 1Hz experimental MR Elastography phantom system were investigated theoretically, numerically, and experimentally. At low frequencies, viscoelastic models have a non-uniqueness issue that can be avoided by using a poroelastic model, which has an additional fluid force term to balance elastic forces when inertial forces are negligible. Numerical experiments showed poroelastic models have much higher sensitivity to global property changes compared to viscoelastic models. Inversions of experimental phantom data with a poroelastic model gave cleaner images that are less sensitive to initial property estimates compared to a viscoelastic model.
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