A complemented absoluterelative full-tensor gravity gradiometer system utilizes an absolute gravity instrument and a relative gravity gradiometer to provide respective outputs corresponding to components of the gravity gradient tensor to verify the relative gravity gradiometer and effect correctioncompensation thereof. One or both of the crushing surfaces may include projections and one or more of the crushing surfaces includes channels disposed at the nip for ejection of crushed material. Such methods may be utilized in vertical or incline lifting environments, and an auxiliary chamber may be incorporated into the multiple chamber framework for use as an alternative to, or in conjunction with, elevating objects by employing fluid elevation.