测试井封隔器胶筒径向变形探讨

在摒弃胶筒体积不可压缩的常规假设基础上,利用拉梅公式及空间轴对称问题的弹性力学解,获得了胶筒的径向位移表达式,算例表明计算结果比实际值大得多。实验测试发现,封隔器胶筒的弹性模量比现有文献给出的值要大一个数量级,但由此算出的深井胶筒径向变形仍比实际的值大。在此基础上,认为现有封隔器的设计计算中广泛采用的拉梅公式只可近似地用于浅井封隔器胶筒分析,不适用于深井封隔器胶筒。提出了浅井中两端受到限制的封隔器胶筒分析应采用弹性力学空间轴对称理论求解,进而应该考虑封隔器胶筒在深井中的物理非线性问题,由此可望获得该问题的较准确解。

Probing into Radial Deformation of Packer Rubber in Test Well

At the base of rejecting normal suppose of impressibility of rubber volume, the packer rubber radial displacement formula were derived from Lame formula and elastic mechanics resolution of spatial axial symmetric problem. The example showed that results we calculated was greater than actual value. According to experiment testing, it was found that the elasticity modulus of packer rubber was ten times as much as value given in the literatures. However, the value we calculated was greater than actual value in the deep well. So it was considered that Lame formula which was widely used in packer design and calculation was only used in shallow well. A kind of method used spatial axial symmetric theory to analyze packer rubber that was constrained in the both ends was referred in shallow well, at the same time, the nonlinear problem should be considered in the deep well, at the base of it, more accurate resolution can be obtained expectively.