流变地层地应力场中套管载荷的理论解  

Theoretical Solution of Casing Loads in Rheological Formation in Tectonic Stress Field

作　　者：李平恩[1] 殷有泉[1] 苏先樾[1] 

机构地区：[1]北京大学力学与工程科学系,北京100871

出　　处：《北京大学学报（自然科学版）》2007年第1期11-16,共6页Acta Scientiarum Naturalium Universitatis Pekinensis

基　　金：教育部博士点专项科研基金(20050001016)资助项目

摘　　要：利用求解线性粘弹性问题的弹性粘弹性对应性原理,利用已有的弹性解,求得了考虑地层符合Kelvin流变规律的情况下,地应力场中套管载荷的理论解,并给出了松弛时间的解析表达式。研究表明,流变地层地应力场中套管载荷随时间变化,存在一临界时间,使得套管载荷有最值,当时间足够长时,粘弹性解与相应的弹性解一致。用套管弹性解定义的套管地应力载荷,稍低于流变地层中套管所受最大压力。因此在设计时,或者将弹性计算载荷适当增大,或者将安全系数适当增大,以保证套管安全。Based on the elasticity viscoelasticity correspondence theory and the acquired elastic solution, assuming the formation obey the Kelvin viscoelastic constitutive relation, the theoretical solution of casing loads in theological formation in tectonic field and the analytic expression of relaxation time are obtained. The results indicate that the easing load in tectonic field changes with time and it exists a critical time in which the easing load has the most value. The viscoelastic solution is coincidence with corresponding elastic solution when the time is long enough. The easing tectonic stress load defined by elastic solution is slightly less than the maximum pressure subjected by easing pipe in rheologieal formation. Therefore, the elastic computation load or safety coefficient should be increased properly in design to ensure the safety of the easing pipe.

关 键 词：流变地层 弹性粘弹性对应性原理 地应力 套管载荷 理论解 

分 类 号：TE256[石油与天然气工程—油气井工程]