The Studyapplication Ofpotential Field Compensation Regularization Downward Continuation Method

The magnetic fieldgenerated by different magnetic geological bodies and corresponding with those spreads the whole space.The characteristic parameters of magnetic bodies,such as the deep,the direction of magnetization and the boundary of magneticbodies,are got by studying the spread space of the corresponding magnetic filed.However,the surface magnetic data is only got in actuality exploration,namely the magnetic field of earth surface.The mathematical computation method was utilized to get the approximate spread shape of magnetic space potential filed by studying spread space of magnetic field.The method contains the upward continuation and the downward continuation.There is a whole set of method for upward continuation.It is a ill-posed problem fordownward continuation so that the continuation is difficult and low accuracy.The usual magnetic field is achieved by most methods when the original magnetic field is extended through the field source.First,the corresponding relation between magnetic geological bodies and magnetic space field is discussed by studying the equivalent line of magnetic space field of regular geological bodies such as balls,cylinders,thin plates,thick plates and steps in the article.Then,the continuation through field source not singular character of theTikhonov regularization method is disclosed by studying the continuation factor of Tikhonov regularizationmethod in frequency area.Then,utilizing the compensation Tikhonov regularization methodproposed by Gao Yuwen etc declines the problem that the method is sensible for the regularization parameters.By analyzing the continuation operator of compensation Tikhonov regularization methodin frequency area,the result leaded by parameters such as resistance factor ?,iterative number n and the downward deep h is discussed for the shape of downward operator in frequency.Moreover,the effect for the continuation result from the different parameters is going to be discussed.Then,the forward modeling data is processed by the method.The reflect for characters of magnetic bodies and continuation result are discussed and analyzed.Finally,the real data of the 62 line of MuZhiDing part and the 122 line of ShaSong South part for the NiXiong mine area is computed by usingthe method.Utilizing the downward result calculates the parameters of magnetic geological bodies corresponding with the two line.The analysis is got to identify realistic application result and conclude realistic application questions by comparing the calculation result with the result using the curve fitting method.