摆线型大位移井剖面设计的数值计算          下载免费PDF全文

陈勋 《探矿工程》2010,37(6):01-03

摆线型大位移井轨道由“直井段—圆弧井段—摆线井段—稳斜井段”构成,与其他类型的大位移井轨道相比,摆线型大位移井具有最小的或很小的摩阻和摩阻力矩。摆线型大位移井轨道设计问题归结为求解一个二元方程组,当未知设计参数为摆线井段初始井斜角或稳斜井段井斜角时,该方程组为非线性方程组,没有解析解。通过数学变换和化简,得到了等价的三角函数方程,根据区间搜索和二分法提出了求该三角函数方程近似解的数值迭代算法。算例表明,该算法具有很好的迭代稳定性,计算精度高、速度快。新算法可用于大位移井轨道设计的计算机软件开发,对于提高软件的适用性和稳定性具有较大的帮助。  相似文献   

Mechanics of tidally driven fractures in Europa's ice shell     

Sunwoong Lee  Nicholas C. Makris 《Icarus》2005,177(2):367-379

A fracture mechanics model is developed for the initiation and propagation of a crack through a porous ice layer of finite thickness under gravitational overburden. It is found that surface cracks generated in response to a tidally induced stress field may penetrate through the entire outer brittle layer if a subsurface ocean is present on Europa. Such penetration is found to be very unlikely in the absence of an ocean. A cycloidal crack would then form as a sequence of near instantaneous discrete failures, each extending roughly the brittle layer thickness in range, linked with a much lower apparent propagation speed set by the moving tidal stress field. The implications of this porous ice fracture model for ice-penetrating radar scattering loss and seismic activity are quantified.  相似文献