Investigating the propagation mechanism of unmodelled systematic errors on coordinate time series estimated using least squares

The propagation of unmodelled systematic errors into coordinate time series computed using least squares is investigated, to improve the understanding of unexplained signals and apparent noise in geodetic (especially GPS) coordinate time series. Such coordinate time series are invariably based on a functional model linearised using only zero and first-order terms of a (Taylor) series expansion about the approximate coordinates of the unknown point. The effect of such truncation errors is investigated through the derivation of a generalised systematic error model for the simple case of range observations from a single known reference point to a point which is assumed to be at rest by the least squares model but is in fact in motion. The systematic error function for a one pseudo-satellite two-dimensional case, designed to be as simple but as analogous to GPS positioning as possible, is quantified. It is shown that the combination of a moving reference point and unmodelled periodic displacement at the unknown point of interest, due to ocean tide loading, for example, results in an output coordinate time series containing many periodic terms when only zero and first-order expansion terms are used in the linearisation of the functional model. The amplitude, phase and period of these terms is dependent on the input amplitude, the locations of the unknown point and reference point, and the period of the reference point's motion. The dominant output signals that arise due to truncation errors match those found in coordinate time series obtained from both simulated data and real three-dimensional GPS data.     

Spaceborne gravitational field determination by means of locally supported wavelets

In space-borne gravitational field determination, two challenges are inherent. First, the continuation of the data down to the surface of the Earth is an ill-posed problem, requiring therefore regularization techniques. Second huge data sets result requiring efficient numerical methods. In this paper, we show how locally supported wavelets on the sphere can be developed by means of a spherical version of the so-called up function. By construction, the corresponding scaling functions and wavelets are infinitely smooth, so that they can be used for regularization purposes. In particular, we show how the ill-posed pseudo-differential equations coming from satellite missions can be regularized by efficient numerical schemes using locally supported wavelets. These methods seem in particular to be interesting for regional gravity field modelling.     

重庆市北碚醪糟坪泥石流防治工程探讨

北碚醪糟坪泥石流防治工程，在施工中使用了多工艺方法，泥石流前缘采用桩、粱、锚支挡工程，相互连接及帷幕灌浆，改变土质性能，加强稳定性，泥石流中段大胆采用碎石毛石重力坝，阻拦上部泥石流，加上盲沟连接碎石桩和重力坎，排泄地下水、地表水。为了防止泥石流上段北岸继续造成滑塌，在北岸进行护坡桩保护。后缘是根据彻底根治原则，用人工挖孔抗滑桩，桩上端与横粱相连，粱与锚桩连接，切断了泥石流物质来源。该泥石流是地表水和地下水不畅通而引起的，在泥石流中下部修建了盲沟网格，明渠修建在下部外围稳定的土体上，水渠沟沟相通，最后集中排泄到明渠中流走。该泥石流采用综合整治方法，大胆使用碎石桩毛石重力坎，这一工艺获得了理想效果。