CAJ | 학술논문

经研究发现热弛豫模型的衰减比BISQ模型大得较多,与地球介质相比衰减量也过大;反演与实验结果相比在虚模量的低频(或低温)端和高频(或高温)端相差较大,仅在峰值附近符合较好.针对上述不足,将Arrhenius关系直接引进Biot模型,替换原模型引进的峰值点的频率对数和温度关系,并重新调整了模型参数.这样既改善了原模型衰减量过大,又克服了模型反演中虚模量峰值曲线两侧差异较大的缺点.进行了P波和S波的波传播分析,仍然在频率谱和温度谱上获得热弛豫峰和Biot峰.分析显示热弛豫峰导致波速随频率升高而上升的普遍规律,Blot峰导致波速随温度升高而上升的异常现象.在相同条件下对Biot模型,BISQ模型和热弛豫模型的P波波速和衰减进行了对比.热弛豫模型得到的速度频散更强,频散范围更宽,所得的衰减峰值频率比BISQ模型要低,衰减幅度比BISQ模型稍大.这些结果与实验结果相近,更符合实际.
경연구발현열이예모형적쇠감비BISQ모형대득교다,여지구개질상비쇠감량야과대;반연여실험결과상비재허모량적저빈(혹저온)단화고빈(혹고온)단상차교대,부재봉치부근부합교호.침대상술불족,장Arrhenius관계직접인진Biot모형,체환원모형인진적봉치점적빈솔대수화온도관계,병중신조정료모형삼수.저양기개선료원모형쇠감량과대,우극복료모형반연중허모량봉치곡선량측차이교대적결점.진행료P파화S파적파전파분석,잉연재빈솔보화온도보상획득열이예봉화Biot봉.분석현시열이예봉도치파속수빈솔승고이상승적보편규률,Blot봉도치파속수온도승고이상승적이상현상.재상동조건하대Biot모형,BISQ모형화열이예모형적P파파속화쇠감진행료대비.열이예모형득도적속도빈산경강,빈산범위경관,소득적쇠감봉치빈솔비BISQ모형요저,쇠감폭도비BISQ모형초대.저사결과여실험결과상근,경부합실제.
The attenuation of thermal relaxation model is much higher than BISQ model, and also higher than the attenuation of earth medium. The inversion results of imaginary modulus in low frequency (or low temperature) area and high frequency (or high temperature) area are not pleasantly satisfied with the experimental results. The inversion results coincide with the experimental results only at the nearby area of attenuation peak. The original Arrhenius relation is introduced into Biot model to substitute the used frequency-temperature relationship at attenuation peak, and some changes of the parameters have been made. Then the results of the modified model eliminate the high attenuation and the mismatch of inversion results and experimental results of imaginary modulus in the old model. 1-D P-wave and S-wave propagation characteristics are analyzed.Thermal relaxation attenuation(TA)peak and the Biot attenuation peak are obtained on both frequency and temperature spectra. Overall analysis show that the appearance of TA peak leads to a universal law,the velocity increases with the frequency. The existence of Biot peak leads to an unusual phenomenon,the velocity increases with the temperature.Comparison is made for Blot, BISQ, and thermal relaxation model. Larger dispersion and wider dispersion range are observed in thermal relaxation model. The attenuation peak frequency of thermal relaxation model is lower than that of BISQ model,and the attenuation is a little larger. These numeric results are close to experimental results, which is more realistic.