INVESTIGATION OF THE INVERSE MONTE CARLO METHOD AND ITS APPLICATION TO NUCLEAR GAUGING

Award Information
Agency: National Science Foundation
Branch: N/A
Contract: N/A
Agency Tracking Number: 2603
Amount: $200,000.00
Phase: Phase II
Program: SBIR
Awards Year: 1988
Solicitation Year: N/A
Solicitation Topic Code: N/A
Solicitation Number: N/A
Small Business Information
4917 Professional Ct, Raleigh, NC, 27609
DUNS: N/A
HUBZone Owned: N
Woman Owned: N
Socially and Economically Disadvantaged: N
Principal Investigator
 William L Dunn
 Principal Engineer
 (919) 876-0018
Business Contact
Phone: () -
Research Institution
N/A
Abstract
THE INVERSE MONTE CARLO (IMC) METHOD IS A NOVEL APPLICATION OF DIRECT MONTE CARLO (MC) THAT ALLOWS A RATHER LARGE CLASS OF INVERSE PROBLEMS TO BE SOLVED IN A NONITERATIVE MANNER. DIRECT MC CAN BE VIEWED AS A MEANS OF ESTIMATING DEFINITE INTEGRALS; IMC, ON THE OTHER HAND, CAN BE VIEWED AS A MEANS OF SOLVING INVERSE PROBLEMS POSED AS FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND. IN BOTH CASES, THE TECHNIQUES CAN BE APPLIED WITHOUT EXPLICITLY USING THE INTEGRAL FORMULATION AS LONG AS THE PHYSICS OF THE PROCESS ARE KNOWN.IMC IS IMPLEMENTED BY HYPOTHESIZING FORMS FOR THE UNKNOWN DISTRIBUTIONS, EXECUTING A DIRECT MC SIMULATION AND APPLYINGWEIGHT FACTORS THAT CONTAIN THE UNKNOWN PARAMETERS. BY EQUATING THE RESULTING MC ESTIMATOR TO KNOWN OR MEASURED RESPONSES, A SYSTEM OF ALGEBRAIC EQUATIONS IS FORMED THAT CAN, IN PRINCIPLE, BE SOLVED BY STANDARD METHODS FOR THE UNKNOWN PARAMETERS. ADVANTAGES OF THE IMC METHOD INCLUDE THE FACTS THAT IT IS NONITERATIVE, IN THE SENSE THAT THE SIMULATION NEED BE PERFORMED ONLY ONCE, AND THAT IT CAN BE APPLIED TO HIGHLY COMPLEX PROBLEMS WHERE STANDARD TECHNIQUESFAIL. IN PHASE I, THE PRACTICAL FEASIBILITY OF THE METHOD WILL BE INVESTIGATED AND ITS APPLICATION TO NUCLEAR GAUGING WILL BE CONSIDERED, WITH SPECIAL EMPHASIS ON ENERGY-DISPERSIVE X-RAYFLUORESCENCE GAUGING. IN ADDITION, EXTENSION OF THE METHOD TO THE SOLUTION OF OPTIMIZTION PROBLEMS, SUCH AS ARISE IN DESIGN OF GAUGING SYSTEMS, WILL BE INVESTIGATED AND ATTEMPTSWILL BE MADE TO ESTABLISH A MATHEMATICAL BASIS FOR THE METHOD. IF PHASE I IS SUCCESSFUL, THE DEVELOPMENT OF A PROTOTYPE GAUGE, SUCH AS AN X-RAY FLUORESCENCE ANALYZER, BASED ON THE IMC METHOD WILL BE PROPOSED FOR A PHASE II EFFORT.

* Information listed above is at the time of submission. *

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