随机误差在重磁数据的测量、各种数学变换处理以及正反演计算中普遍存在。重磁反演解的不稳定其原因之一是由于存在随机干扰,在向下延拓、求高次微商等的计算中,常将误差过份放大,使有用异常被严重干扰,无法辨认。作者为研究随机误差对重磁变换的影响,对随机误差在频率域中传播的情况作了深入探讨。 Random error in the measurement of gravity and magnetic data, a variety of mathematical transformations, as well as inversions are common in the calculation. One of the reasons for the instability of the gravity and magnetic inversion solution is that due to the existence of random interference, in the calculation of downward extension and high-order derivative, etc., the error is often over-amplified, so that the useful abnormality is seriously disturbed and illegible . In order to study the influence of random error on the gravimetric and magnetic transformations, the author makes a deep discussion on the propagation of random errors in the frequency domain.