B样条分层离散插值在磁测异常处理中的应用  

APPLICATIONS OF SCATTERED INTERPOLATION B-SPLINES ON MAGNETIC ANOMALY TREATMENT

作　　者：江玉乐[1] 李才明[1] 张朝霞[1] 

机构地区：[1]成都理工大学,四川成都610059

出　　处：《西南石油大学学报（自然科学版）》2007年第4期12-15,55,共5页Journal of Southwest Petroleum University(Science & Technology Edition)

基　　金：国家自然科学基金(40474032)

摘　　要：在地球物理探测中,由于受地形条件等因素的影响,大量的观测和采样是在极不规则并且离散的测网下进行的。为了更合理地对地球物理异常做出正确的解释,在保持原有场特征的前提下,有必要插值出均匀并且较密集网格下的数据。B样条分层离散插值方法可实现将离散并且稀疏的数据插值到均匀并且密集的网格上。该方法建立了一组控制点间距逐步减半的网格层,同时利用B样条改进控制点网格层对于所有离散数据的估计来优化多层离散插值。该方法在理论模型中进行了测试,取得了预期的效果;然后,应用到两组地球物理磁测异常的实际资料处理和解释中,验证了被严格理论模型所保证的优异性,取得了很好的效果。该方法可以推广到整个地球物理资料的处理和解释中。Due to terrain condition,plenty of observation and sampling are carried on by means of anomalistic and discrete measuring grid during geophysics exploration.For the sake of getting the more rational and correct geophysics anomaly interpretation,keeping the intrinsic field character,it is necessary to interpolate in the even and dense grid.a scattered interpolation with multilevel B-splines which interpolates in the even and dense grid with scattered and sparse data is introduced in the article.This method establishes a set of grid layers of half-reducing reference point space,and optimizes multilevel scattered interpolation by estimating all scattered datum by means of B-splines rectifying reference point grid layer.Three-level B-splines interpolation can guarantee both the high accuracy and the computing efficiency,which estimates well the even grid point value of two dimension or three dimension on account of the known discrete sparse value.This method is proceeded in academic model tests and the very ideal results obtained firstly.Then it is applied to two actual data processing about geophysical magnetic measure anomaly,good results obtained and the superiority verified.This method can be generalized in the whole geophysical data processing and interpretation.

关 键 词：B样条 离散数据插值 地球物理勘探 磁异常 

分 类 号：P318.4[天文地球—固体地球物理学]