The objective of this research is to provide support for the instrumentation concept of a High Resolution Capacitance Imaging System (HRCIS)The work Involves the development and evaluation of the mathematical theory and associated models and algorithms which reduce the electronic measurements to valid physical characterizations. The research and development require the investigation of techniques to solve large systems of equations based on capacitance measurements for various electrode configurations in order to estimate densities of materials in a cross-section of a fluidized bed. Capacitance measurements are made for 400 connections of the 32-electrode system; 400 corresponding electric-field curves are constructed by solving a second order partial differential equation. These curves are used to partition the circular disk into 193 regions called pixels, and the density of material in each pixel is to be estimated. The HRCIS work plan called for development of three mathematical models for estimating densities in a fluidized bed. These models are referred to as Methods 1, 2, and 3. Additional methods, designated Methods 4 through 9, were suggested during this reporting period. See Table 1 for a list of the methods included in the project, along with a brief description of each method.
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