A comparison of transformation methods for evaluating two‐dimensional weakly singular integrals

Accurate numerical evaluation of integrals arising in the boundary element method is fundamental to achieving useful results via this solution technique. In this paper, a number of techniques are considered to evaluate the weakly singular integrals which arise in the solution of Laplace's equation in three dimensions and Poisson's equation in two dimensions. Both are two‐dimensional weakly singular integrals and are evaluated using (in a product fashion) methods which have recently been used for evaluating one‐dimensional weakly singular integrals arising in the boundary element method. The methods used are based on various polynomial transformations of conventional Gaussian quadrature points where the transformation polynomial has zero Jacobian at the singular point. Methods which split the region of integration into sub‐regions are considered as well as non‐splitting methods. In particular, the newly introduced and highly accurate generalized composite subtraction of singularity and non‐linear transformation approach (GSSNT) is applied to various two‐dimensional weakly singular integrals. A study of the different methods reveals complex relationships between transformation orders, position of the singular point, integration kernel and basis function. It is concluded that the GSSNT method gives the best overall results for the two‐dimensional weakly singular integrals studied. Copyright © 2002 John Wiley & Sons, Ltd.     

多介质立体取样及在北黄海油气化探中的应用

由于不同环境条件下,不同化探测试指标受到不同的因素干扰,所以不同介质样品的应用条件存在一定的差异。针对不同介质样品特点,分别采集海底沉积物、底部海水和低空大气3种介质样品,并采用在海底沉积物柱状样不同深度部位取样的立体取样方法,通过多指标综合分析,对不同介质和深度样品的多项化探指标互相进行了验证和补充,可以抑制干扰因素的影响,为油气资源远景评价提供依据。运用该方法在北黄海盆地油气勘查中进行初步尝试,并据此划分了三级化探异常区,提出了有利的含油气远景区,均与已知油气区和区域地质分析的结果相符合,取得了很好的效果。      

渤海湾盆地济阳——临清东部煤系烃源岩形成环境

钻井、地震、测井及测试资料综合研究认为:渤海湾盆地济阳—临清东部地区石炭—二叠系主要发育一套浅海碳酸盐岩台地相灰岩、障壁—潟湖、潮坪、沼泽及三角洲相陆源碎屑岩和煤层.从纵向发育的沉积特征来看,上石炭统本溪组发育浅海台地相碳酸盐岩和浅海陆棚相(陆表海)砂泥岩,太原组主要发育障壁—潟湖、潮坪、沼泽相碳酸盐岩、陆源碎屑岩和煤的混合沉积;二叠系山西组主要发育三角洲相和三角洲平原沼泽相砂泥岩及煤,下石盒子组和上石盒子组则以发育近海陆相碎屑岩沉积为主,局部有河流沼泽的泥炭和煤发育.沉积环境总体具有自下而上、由南向北由浅海相、海陆交互相逐步过渡为陆相的基本特点.成煤环境以晚石炭世—早二叠世太原、山西期潮坪、潟湖过渡带之潮坪沼泽环境及三角洲平原沼泽环境为最佳.      

大庆长垣西侧扶杨油层油水同层形成及识别

结合松辽盆地大庆长垣西侧扶余、杨大城子油层的勘探实践,从顶生下储的特殊成藏原理出发,详细地讨论了扶余、杨大城子油层的油水层形成机理,提出了2种形成模式。认为扶杨油层的油水同层是在以上覆烃源岩的超压为驱动力的成藏条件下形成,油水混合运移注入储层,由于储层的孔喉小,油水重力分异不好,造成孔隙存油,喉道存水。这种低渗透储层孔隙结构复杂,含油饱和度低,油水在孔隙中分布状况特殊,使得电阻率等曲线反映流体的信息变弱,造成油水层识别变难。为此提出多参数降维油气水层识别方法,经实际应用取得较好的效果。      

大牛地气田气井无阻流量的确定方法研究

大牛地气田气井试井大多采用一点法，由于气层渗透性差，测试时间短，流压很难达到稳定，计算的无阻流量往往偏高，且无法获得正确的产能方程。通过气田多口井修正等时试井数据进行统计分析，获得了一点法试井在不同生产时间下计算无阻流量的经验公式；利用气田修正等时试井的二项式方程系数曰，计算惯性阻力系数并经过曲线回归处理获得了经验关系式，很好地解决了一点法试井计算产能方程的问题。     

波动方程数值模拟的隐式差分法

在有限差分波动方程数值模拟中,通常采用高阶差分方法来提高空间导数的数值逼近精度,以实现降低数值频散,提高数值模拟精度的目的。首先对差分频散进行了理论分析;然后讨论了估计一阶空间导数的隐式差分格式,并与通常采用的高阶精度显式差分格式进行了对比分析,结果表明,隐式差分格式能够在更宽的波数范围使差分频散控制在可接受的水平,如8阶精度的显式差分格式所适应的波数带宽约为O．55kmax,而隐式差分格式所适应的波数带宽约为0．7kmax;最后通过模型试算,对隐式差分格式的有效性进行了验证。模拟结果表明,用隐式差分格式在一定程度上降低了差分频散,提高了模拟精度。     

个性化公开密钥系统的设计

论文提出利用用户提供的个性化信息来随机产生关联大素数,保证了素数选取的随机化、个性化,提高了RSA算法的安全性。     

几种涉密网主机系统保护及审计技术的比较

论文比较详细地阐述了涉密网主机系统所面临的安全隐患,提出了涉密网主机安全防护所要解决的几个技术问题,并就可能实现的技术方法进行了探讨和比较。     

教育要有针对性管理要有强制性

分析高职学生思想状态的多层次性,提出以正面的思想教育和启发引导为主,同时加强规章制度的制约性,以提高教育管理工作的效果.     

A multigrid accelerated hybrid unstructured mesh method for 3D compressible turbulent flow

 A cell vertex finite volume method for the solution of steady compressible turbulent flow problems on unstructured hybrid meshes of tetrahedra, prisms, pyramids and hexahedra is described. These hybrid meshes are constructed by firstly discretising the computational domain using tetrahedral elements and then by merging certain tetrahedra. A one equation turbulence model is employed and the solution of the steady flow equations is obtained by explicit relaxation. The solution process is accelerated by the addition of a multigrid method, in which the coarse meshes are generated by agglomeration, and by parallelisation. The approach is shown to be effective for the simulation of a number of 3D flows of current practical interest. Sponsored by The Research Council of Norway, project number 125676/410 Dedicated to the memory of Prof. Mike Crisfield, a respected colleague