| 摘要 |
A method of interpolating wave signals, particularly seismic signals acquired through a seismic survey, comprises obtaining 31 time series of measured wave signals and then iteratively selecting 33 basis functions to represent the measured signals. The basis functions are fully defined by n parameters. In each iteration one or more basis functions are combined with the selected basis functions such that the residual between the measured signals and a representation of the measured signal by the combined basis functions is minimized at the locations of the measurement at each iteration. The measured wave signals may be obtained at irregularly spaced locations or times. The basis functions may be sinusoids, and the parameters defining the basis functions may be amplitude, phase and frequency. The parameters of the basis functions may be determined using a matching pursuit optimization process. The interpolation method may be used in processing irregularly sampled seismic data to derive a representation of a subterranean reservoir. |
