A robust theory of sedimentation-consolidation evolved and was accepted by researchers worldwide in the last two decades of the 20th century. This theory provides a reliable method of thickener design, simulation and control. However, a process model, simple or sophisticated, empirical or phenomenological, is useful only if it is possible to determine, in an objective way, its experimental parameters. Although it is important for a mineral processing plant to perform periodical laboratory test to determine thickening parameters, and in this way adjust the operation, not always these tests represent the behavior of the material in the process. It is important to be able to determine these parameters directly in the thickeners. Research workers at the University of Concepción developed new instrumentation, algorithms and software for the determination of thickening parameters. In this paper, two new instruments for the on-line determination of the settling velocity and the compressibility of the sediment are presented and results of tests in a major mineral processing plant in Chile are described.