论文部分内容阅读
在地震勘探中,地震数据求地层介质的物理参数问题归结为波动方程的参数识别同题.计算精度和不适定性是本文研究的难点和关键.Chen.Y.M提出的PST法具有稳定性、通用性、原始数据的需求量较少,计算时间较短等优点.但其精度达不到实用要求.本文直接在离散的形式下导出了梯度增量法,从现有几个算例来看,它除了具备PST法的优点外,还能提高计算精度.另外在对吉洪诺夫正则法中正则参数α的性态及稳定泛函Ω[x]试验的基础上,探讨了不适定方程的求解技术,它将有助于提高计算精度.
In seismic exploration, the physical parameters of formation media in seismic data are reduced to the same problem of parameter identification of wave equation.The calculation accuracy and ill-posedness are the difficulties and key points in this paper.The PST method proposed by Chen.YM has the characteristics of stability and universality , The demand of the original data is less, the calculation time is shorter, but its accuracy can not reach the practical requirement.This paper derives the gradient incremental method directly in the discrete form. From the several existing examples, it In addition to the advantages of the PST method, the accuracy of calculation can be improved.In addition, based on the test of the properties of the canonical parameter α and the stable functional Ω [x] in the Kjikunov regularization method, the solution of the ill-posed equation Technology, it will help to improve the calculation accuracy.