Abstract: The essence of gravity exploration lies in studying the variation characteristics of gravity anomalies to obtain geophysical information about underground geological structures,rock distribution,and mineral occurrences.Gravity data processing involving various corrections is an indispensable link in gravity exploration work,aiming to eliminate gravity changes caused by non-geological factors.Gravity data corrections include terrain correction,intermediate layer correction,elevation correction,and latitude correction.Among these,terrain correction and intermediate layer correction in gravity exploration usually adopt a "constant density value" for correction.However,due to differences in lithology and weathering degrees within a general survey area,the actual density of underground substances is a variable value.Therefore,even after correction,false anomalies such as "topographic anomalies" or "mirror anomalies" still exist,which exert adverse effects on data processing and may even lead to incorrect geological conclusions.This paper adopts the method of " lateral variable-density generalized terrain correction",which integrates the traditional gravity terrain correction and intermediate layer correction into a unified calculation.Furthermore,by elevating the datum plane for various corrections from the usual geoid/sea level to the lowest elevation plane of the terrain correction area,this paper establishes the workflow and specific correction method of "lateral variable-density generalized terrain correction" are established.This method can effectively eliminate false anomalies caused by terrain,improve the accuracy of gravity anomalies,and enhance the reliability of interpretation results.