Model Of A System For The Capacitive Measurement Of The Height Of Liquids In Metallic Tanks
Author(s)
R. C. Callarotti
Abstract
We analyze the problem of the capacitive measurement of the height of a liquid in a cylindrical storage tank whose outer structure is connected to the ground. The system is excited electrically by applying a time varying voltage between a disk shaped electrode (located at the centre of the tank) and the external tank wall. The theoretical solution for the pertinent Maxwell’s equations is derived for a liquid characterized by a given real permittivity εL and zero conductivity. The space above the liquid is air. The problem is reduced to the solution of the Laplace equation for a multiply connected region. The validity of the analytical solution is checked against a numerical based on an equivalent circuit for the system. The case where the liquid is considered as having a given conductivity is also considered. Finally, we include a discussion concerning the application of this type of instrumentation in the case of storage tanks used in the petroleum industry.
Keywords
inductive measurements, numerical procedures, oil production
Related Book
Other papers in this volume
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