Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials

We extend the definition of the classical Jacobi polynomials withindexes α, β>−1 to allow α and/or β to be negative integers. We show that the generalized Jacobi polynomials, with indexes corresponding to the number of boundary conditions in a given partial differential equation, are the natural basis functions for the spectral approximation of this partial differential equation. Moreover, the use of generalized Jacobi polynomials leads to much simplified analysis, more precise error estimates and well conditioned algorithms.Mathematics subject classification 1991. 65N35, 65N22, 65F05, 35J05     

Popular biorthogonal wavelet filters via a lifting scheme and its application in image compression

A technique using a lifting scheme is presented for constructing compactly supported wavelets whose coefficients are composed of free variables locating in an interval. An efficient approach-based wavelet for image compression is developed by selecting the coefficients of the 9-7 wavelet filter and associated lifting scheme. Furthermore, the rationalised coefficients wavelet filter that can be implemented with simple integer arithmetic is achieved and its characteristic is close to the well known original irrational coefficients 9-7 wavelet filters developed by A. Cohen et al. (Commun. Pure Appl. Maths., vol.45, no.1, p.485-560, 1992). To reduce the computational cost of image coding applications further, an acceleration technique is proposed for the lifting steps. Software and hardware simulations show that the new method has very low complexity, and simultaneously preserves the high quality of the compressed image.     

泥页岩井壁稳定研究及在临盘地区的应用

从岩石力学和物理化学两个主要因素简要分析了井壁失稳的机理，指出泥页岩井壁失稳是由力学与化学两方面因素共同作用的结果。钻井液与泥页岩存在化学势差，并改变了井壁附近的孔隙压力，降低岩石强度。借助于井壁处有效应力的变化,将泥页岩与钻井液相互作用时页岩水化所产生的力学效应与纯力学效应结合起来，计算出任意井斜方位井眼围岩应力状态，利用测井资料求出有关岩石力学参数和Mohr Couloumb准则，计算得出防塌的临界钻井液密度。     

SO4^2-／ZrO2固体超强酸的制备及其催化合成ETBE的研究

采用沉淀一浸渍法制备了负载型SO4^2-／ZrO2固体超强酸催化剂，运用IR、XRD等方法表征所制备催化剂的物化性质。结果表明，所制备的催化剂具有固体超强酸催化剂的特征，酸性与焙烧温度有关，适当提高焙烧温度有利于样品酸强度的提高，但焙烧温度过高会导致脱硫；浸渍液H2SO4浓度高有利于提高催化剂的硫含量，但是浓度过高，会在催化剂上形成硫酸盐，从而降低催化剂的比表面积和酸性。采用制备的催化剂气相催化乙醇与叔丁醇合成乙基叔丁基醚反应，乙基叔丁基醚的选择性为54．71％。     

Cover Picture: Arresting,Fixing, and Separating Dimers Composed of Uniform Silica Colloidal Spheres (Adv. Funct. Mater. 12/2006)

In colloidal suspensions of silica, particles undergo constant collisions. By controlling various parameters, the repulsive barrier can be reduced, thereby substantially increasing the number of collision‐induced dimerization events. Xia and co‐workers report on p. 1627 that the dimers could be arrested and then permanently fixed by introducing a small amount of fresh tetraethylorthosilicate into the colloidal suspension, with monodisperse dimer yields of up to 50 %. This yield could be increased to 80 % by centrifugation in a density gradient medium. When fresh tetraethylorthosilicate is introduced into a colloidal suspension of silica spheres, it hydrolyzes and condenses in situ to arrest and fix the dimers resulting from constant collisions between the spheres. By optimizing the experimental parameters (including the length of aging time) and the diameter of the silica spheres, as well as the concentrations of counterions, water, and ammonia, it is possible to routinely produce monodisperse dimers with a yield as high as 50 %. When combined with centrifugation using a density gradient medium, the yield of such dimers could be further increased to 80 %. It is believed that this method will provide a simple and versatile approach to the high‐volume production of dimers from spherical colloids composed of different materials. These dimers may find widespread use in a range of applications such as fabrication of photonic crystals and fundamental studies related to colloidal science.     

稀土在激光熔覆镍基自熔合金中的作用

采用CO2激光器在低碳钢表面进行激光熔覆处理,研究了稀土氧化物在激光熔覆Ni45自熔合金层中的作用.结果表明,加入适量稀土的熔覆合金层组织得到细化,其在还原酸中的耐蚀性和抗高温氧化能力较不加稀土镍基合金熔覆层都有较大提高,更远高于低碳钢.可见,稀土变质的激光熔覆处理对提高低碳钢性能具有重要指导意义.     

酮苯脱蜡装置用加氢裂化尾油生产优质白油料

加氢裂化尾油经酮苯脱蜡和白土精制工艺可生产高质量润滑油基础油.该基础油具有很好的低温流动性能,且对添加剂感受性好,硫、氮含量低,饱和烃含量高,可以调合中、高档润滑油,制备白油.加氢裂化尾油的综合利用具有明显的经济效益.     

高分辨率阵列感应测井仪在河南油田的应用

文章介绍了美国Baker-Atlas公司研制生产的高分辨率阵列感应成像测井仪（HDIL）,简述了该仪器的工作原理和技术性能指标及主要应用范围,并介绍了高分辨率阵列感应测井（HDIL）资料在河南南阳油田的具体应用实例.