CAJ | 학술논문

简要介绍了地面核磁共振找水的正演理论方法,采用高斯求积并结合连分式展开的方法对核磁共振核函数中包含双重贝塞尔函数的积分核进行了数值积分,进而计算出精度较高的核函数值,在此基础之上,讨论了导电性对地面核磁共振信号的影响.基于奇异值分解算法,对核磁共振找水理论模型进行了反演研究,在不导电的情况下,重构出了比较理想的含水率分布.总结并改进了模拟退火算法,用改进的模拟退火算法分别对覆盖层高阻和导电条件下的核磁共振人工合成数据进行了反演,试验结果表明,利用改进的模拟退火算法反演地面核磁共振是可行的,而且反演结果较稳定,收敛速度较快.
간요개소료지면핵자공진조수적정연이론방법,채용고사구적병결합련분식전개적방법대핵자공진핵함수중포함쌍중패새이함수적적분핵진행료수치적분,진이계산출정도교고적핵함수치,재차기출지상,토론료도전성대지면핵자공진신호적영향.기우기이치분해산법,대핵자공진조수이론모형진행료반연연구,재불도전적정황하,중구출료비교이상적함수솔분포.총결병개진료모의퇴화산법,용개진적모의퇴화산법분별대복개층고조화도전조건하적핵자공진인공합성수거진행료반연,시험결과표명,이용개진적모의퇴화산법반연지면핵자공진시가행적,이차반연결과교은정,수렴속도교쾌.
The paper simply introduced the basic principle of surface nuclear magnetic resonance and computed the numerical integral of nuclear magnetic resonance kernel function which contained double Bessel functions using the method of Gauss quadrature and continued fraction expansion, and then discussed influence of conductivity to nuclear magnetic resonance's signal. Based on singular value decomposition algorithm, we studied the theoretical model of surface nuclear magnetic resonance and gained the ideal inversion result. We also made inversion experimentation respectively on insulative and electric model using the improved simulated annealing algorithm, and showed that it was desirable to this method. The inversion result was relatively stable and the convergence was very fast.