KEL-TI介质的地震波场响应与成像方法研究的中期报告摘要：KEL-TI介质是一种新型地震介质，其折射率随深度变化可调，可用于模拟多种地质体的介质特征，因此在地震成像领域具有广阔的应用前景。本研究从KEL-TI介质的物理特性出发，针对其介质参数易变的特点，研究了KEL-TI介质的地震波场响应与成像方法，包括速度模型构建、正演模拟、反演求解等方面的内容。其中，从速度模型构建入手，采用了改进的有限差分方法，在不损失精度的前提下提高了计算效率，优化了速度模型的构建；在反演求解方面，将基于上述速度模型的黄金分割法与多尺度分解算法结合，并采用改进的梯度下降算法进行求解，取得了较好的反演效果。通过实际案例分析，验证了本文研究的方法对于KEL-TI介质的地震波场响应与成像具有较高的可行性和实用性，为后续深入开展KEL-TI介质的地震成像研究提供了一定的理论与方法支持。关键词：KEL-TI介质，地震波场响应，成像方法，速度模型构建，反演求解Abstract:KEL-TImediumisanewtypeofseismicmedium,whoserefractiveindexcanbeadjustedwithdepthchange,anditcansimulatethecharacteristicsofvariousgeologicalbodies,soithasabroadapplicationprospectinseismicimaging.BasedonthephysicalcharacteristicsofKEL-TImedium,thisstudyfocusesontheeasilyvariablemediumparametersofKEL-TImedium,andstudiestheseismicwavefieldresponseandimagingmethodsofKEL-TImedium,includingvelocitymodelconstruction,forwardsimulation,andinversionsolution.Amongthem,startingfromthevelocitymodelconstruction,animprovedfinitedifferencemethodisusedtoimprovethecalculationefficiencyandoptimizetheconstructionofthevelocitymodelwithoutlossofaccuracy;Intheinversionsolution,thegoldensectionmethodandmultiscaledecompositionalgorithmbasedontheabovevelocitymodelarecombined,andanimprovedgradientdescentalgorithmisusedforinversion,whichachievesgoodinversionresults.Throughactualcaseanalysis,itisverifiedthatthemethodsstudiedinthispaperhavehighfeasibilityandpracticalityfortheseismicwavefieldresponseandimagingofKEL-TImedium,andprovideacertaintheoreticalandmethodologicalsupportforthesubsequentin-depthresearchonseismicimagingofKEL-TImedium.Keywords:KEL-TImedium,seismicwavefieldresponse,imagingmethods,velocitymodelconstruction,inversionsolution.