Multi-dimensional approach to imaging, monitoring, or measuring systems and processes utilizing capacitance sensors

A system for imaging, monitoring, measuring, or otherwise quantifying a material, combination of materials, or flow within a volume of a vessel interior or other object, the system comprising:

• a sensor comprising a plurality of electrodes for placement near or around the vessel or the object, wherein the sensor is adapted to provide electric field distribution and sensor sensitivity in at least two geometric dimensions;
• a data acquisition circuit in communication with the sensor for receiving input data from the sensor, the input data including current output from the sensor and for outputting electrical phase data for the current;
• a processing system in communication with the data acquisition circuit, the processing system programmed with instructions for executing on the processing system to convert capacitance data and electrical phase data for the current into an image or quantification of a volume being sensed;
• wherein the data acquisition circuit is adapted to output capacitance data and electrical phase data at multiple frequencies to the processing system;
• and wherein the processing system is programmed with instructions for executing on the processing system to:
• 1) use the capacitance data and electrical phase data at different frequencies to measure a volume fraction of each phase of the flow;
• 2) to use the capacitance data or electrical phase data at different frequencies to calculate the velocity for each phase of the flow;
• 3) to use the product of velocity and volume fraction for each phase of the flow to determine mass flow rate.