本文選題：多尺度分析 + 重力異常�。� 參考：《地球物理學(xué)進展》2017年04期

【摘要】：利用徑向基函數(shù)的多尺度分析方法可以對地球重力場進行分解,提取出細節(jié)的地球物理信息.目前通常采用離散積分法進行解算,但信號分解并重構(gòu)后,所得信號并不能與原始重力場信號完全符合,分解過程中出現(xiàn)了信號泄露.針對這一現(xiàn)象,本文在最小二乘算法和方差分量估計的基礎(chǔ)上,提出了新的在各個尺度上直接解算基函數(shù)系數(shù)的算法(直接法),有效的減少了重力場分解過程中的信號泄露.以南海地區(qū)DTU13重力異常數(shù)據(jù)為例,分別運用離散積分法和直接法對重力異常進行多尺度分解,結(jié)果顯示:直接法的5個尺度上的信號泄露誤差相對離散積分法減小約39%~79%;直接法總的泄露誤差為±1.12 m Gal,明顯小于離散積分法的±4.04 m Gal,直接法具有更優(yōu)的效果.
[Abstract]:The multi-scale analysis method of radial basis function can be used to decompose the earth gravity field and extract the detailed geophysical information.At present, the discrete integration method is usually used to solve the problem, but after the signal is decomposed and reconstructed, the signal can not be completely consistent with the original gravity field signal, and the signal leakage occurs during the decomposition process.Aiming at this phenomenon, based on the least square algorithm and variance component estimation, a new algorithm is proposed to calculate the coefficients of the basis function directly at each scale (direct method), which can effectively reduce the signal leakage in the decomposition process of gravity field.Taking the DTU13 gravity anomaly data in the South China Sea as an example, the discrete integration method and the direct method are used to decompose the gravity anomaly in multiple scales, respectively.The results show that the signal leakage error in the five scales of direct method is about 390.79 and the total leakage error of direct method is 鹵1.12m Galal, which is obviously less than 鹵4.04m Galal of discrete integral method, and the direct method has better effect.
【作者單位】： 中國科學(xué)院測量與地球物理研究所大地測量與地球動力學(xué)國家重點實驗室;中國科學(xué)院大學(xué);
【基金】：國家重點基礎(chǔ)研究發(fā)展計劃(973計劃)(2013CB733301) 國家自然科學(xué)基金(41274025,41674085)聯(lián)合資助
【分類號】：P223;P312

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本文編號：1759818