Sphercial Boundary Value Problem And Data Processing

This paper mainly studied the air sphere boundary value problems and research on data processing,the basic theory of the airborne gravity measurement technology,the development status,and the progress of research on the value of the geodetic boundary,and focuses on the use of air spherical boundary value problem to determine the earth's external gravity disturbance.1?This paper discusses the state of the development of the airborne gravity measurement technology at home and abroad,the present situation of downward continuation of airborne gravity data,introduces the basic mathematical model of airborne gravimetry and basic theory.2?Studied the earth gravity field theory,the development of boundary value problems,including the Stokes boundary value theory and the classic Molodensky boundary value problem on the basis of the modern theory of the gravity field and introduce some new boundary value problems.3?This paper introduces several kinds of airborne gravity data downward continuation method,the disturbing gravity data as the research object,the representative error of the different grid side of the perturbed gravitational data in the direct representation method is deduced,and representatives of the optimal height and minimum error.Design of experimental comparison and analysis of several downward continuation method to calculate the ground of the accuracy of height anomaly.this paper studied three kinds of edge expansion method,affect the accuracy so as to reduce the boundary effects brought by the applicability and study the edge expansion method of downward continuation of airborne gravity,so as to provide reference for further improving the accuracy and reliability of the extension.4?The solution of three kinds of boundary value problems of the spherical sphere is deduced,and the perturbation position of the ground is deduced by the gravity field data in the air.The study changes the calculation method of the ground gravity field data.5?The paper proves that the Dirichlet method used to determine the ground gravity field has some shortcoming,by using reduction to absurdity and theoretical proof shows that the method is not applicable to the earth.6?Studied the method of using air spherical boundary value problem,the traditional method of analytical continuation and alternative method to calculate the ground height anomaly model,compared to traditional analytical continuation,adopting air spherical solutions of boundary value problems are more simple,easy to calculate,using the actual terrain data of gravity field on the surface of the solution,the results of the air spherical boundary value problem are better than the traditional analytic extension solution,7?This paper deduces the formula for determining the vertical deviation of the ground and the external perturbation of the earth by using the spherical boundary value problem,and using experiment to demonstrate the formula.Derived the relation between the gravity and its gradient.