Study on uncertainty of inversion and resolution limit in the presence of noise

Acta Geophysica

Sanyi Yuan¹  Shangxu Wang¹  Chunmei Luo¹ 

[1] CNPC Key Laboratory of Geophysical Prospecting

关键词: Resolution limit;    Uncertainty of inversion;    Cost function;   

DOI  :  10.1007/s11600-018-0196-0

学科分类：地球科学(综合)

来源: Polska Akademia Nauk * Instytut Geofizyki

【 摘 要 】

This study analyzed the uncertainty of inversion and the resolution limit in the presence of noise by means of statistical experiments. The exhaustive method is adopted to obtain the global optimal solution in each experiment. We found that even with small level of noise, solutions fluctuate in a large range for the thin bed. The distribution of solutions in the presence of noise is closely related to the spread of the cost function in the absence of noise. As a result, the area of a certain neighborhood around the true solution on the spread of the cost function in the absence of noise is used to evaluate the uncertainty of inversion and the resolution limit in the presence of noise. In the case that the SNR (signal-to-noise ratio) is 5 in this study, solutions focus around the true solution with a very small uncertainty only when the bed thickness is greater than the reciprocal of the double predominant frequency of the convoluting wavelet.

【 授权许可】

Unknown