The Equivalent Source Method In Weak Gravity And Magnetic Information On Research And Application In Separation

Research achievements and academic papers from the inspection and theequivalent source correlation can be found, the equivalent source method to select themodels are three-dimensional sphere, two-dimensional horizontal cylinder,two-dimensional plate, good results are achieved in the practical application, but theform of geological structure, mineral in nature is a complex and arbitrary, only theabove three kinds of equivalent source model to fit the geological structure, mineralform cannot meet the need, so I think the research is cuboid as equivalent sourcemodel can simulate the actual geological structure and mineral.The analysis of gravity anomaly is a cuboid model calculation formula is verycomplex (expansion of eight), to use the horizontal derivative, vertical one order, twoorder derivative to achieve weight, magnetic potential field conversion and weakanomaly extraction from complex formulas we want information is particularlycomplex, one of the main problems of this is that very few people study.Based on the matrix laboratory (Matlab) derived symbolic computation to solvecomplex formula, forward formula through Matlab programming to derive the cubemodel space derivative conversion, conversion, so as to realize the cuboid model asthe equivalent source, after inversion (gravity) spatial distribution of quality, then youcan easily perform various potential field conversion, to achieve the purpose ofseparating geophysical information. Finally, through simulation, and achieves theexpected objective, with the corresponding theoretical abnormal contrast,demonstrates the feasibility and correctness of the study.This paper expounds the gravity anomaly conversion processing, the equivalentsource method, singular value decomposition theory and computing technology, thecuboid as equivalent source model, simulated multiple multi body model, in order toimprove the equivalent source quality precision, overcome the singularity of thecoefficient matrix, the currently accepted for solving ill conditioned equations ofsingular value decomposition (SVD) method is the best, and realizes accurate imagingof equivalent source quality; successfully realized with cuboid as equivalent source model and the derivative conversion, upward, downward continuation of potentialfield conversion processing such as information separation. The simulation results areanalyzed and compared thoroughly, system comparison and analysis, and its accuracyis the same conversion and processing of potential field method in one way thehighest precision, the best. To use the equivalent source method to study theseparation of weak information in gravity and magnetic anomaly in the purpose ofsuperposition. At the same time, the research results are applied to the actual dataprocessing, also obtained (via drilling, engineering verification consistent) goodresults, proves that the research results of practical application value.