基于热传导模型位场网格数据补空方法研究

Filling grid dummy values by heat conduction model

基于热传导模型研究位场网格化数据补空方法,将网格数据空白区域的补空过程类比于热传导过程,实现位场网格中的已知有效信息向数据缺损区域传递,逐步填补数据空白区域。理论模型试验表明基于热传导模型补空精度高,效果明显,在边缘衔接处等值线光滑连续,能够清晰、真实、准确的反映异常梯度走向和趋势变化特征;实际航空重力资料进一步验证了该方法的可行性和实用性,补空效果更符合实测航空重力区域变化规律,最大限度的反映出区域内地质信息,丰富了位场异常信息,提高了位场数据处理和转换的精度,具有实际意义。

The method of filling grid dummy values of potential field based on heat conduction model is proposed in this paper,the process of filling grid dummy in blank areas is regarded as a process of heat conduction to achieve grid data transferring from the known effective information to missing data areas,thus gradually completing data interpolation in blank areas. The numerical experiments show the method of filling grid dummy values by heat conduction model has high precision and is obviously effective. The contours are continuous and smooth on the edges,and also can truly reflect the features and trend of abnormal gradients. The application to the real airborne gravity data indicates that the method is feasible and practical,the effect of filling grid dummy can well conform with the variation law and reflect more geological information of regional gravity field,thus improving the accuracy of data processing and transformation in potential field. The method has practical significance.