光学学报, 2018, 38 (5): 0506001, 网络出版: 2018-07-10
随钻测斜仪中光纤陀螺光纤环Shupe效应仿真 下载: 768次
Simulation of Shupe Effect in Fiber Optic Gyroscope Fiber Coil with Inclinometer While Drilling
光纤光学 光纤陀螺 椭圆柱形光纤环 Shupe效应 有限元 随钻测斜仪 fiber optics fiber optic gyroscope elliptic cylindrical fiber coil Shupe effect finite element inclinometer while drilling
摘要
针对井下近钻头处随钻测斜仪内径受限、井下环境温度梯度大等特殊恶劣环境,设计了一种用于测量石油井眼轨迹惯性的椭圆柱形光纤陀螺。由于光纤环存在热致非互易相移问题,以光纤环的Shupe误差为基础,采用4极对称绕法,建立了椭圆柱形光纤环的三维温度瞬态响应数学模型。结合光纤陀螺实际的工作环境,利用有限元法对椭圆柱形光纤环进行了数值仿真,定量分析其工作温度梯度下光纤环的Shupe误差,实验验证了模型的正确性。在光纤长度、光纤环层数和光纤环半径一定的条件下分别对圆柱形光纤环和椭圆柱形光纤环施加相同的温度激励,比较两种光纤环的热致误差速率。结果表明:椭圆柱形光纤环热致误差速率比圆柱形光纤环小35%~39%,在满足井下测量仪器体积受限的同时,可提高井眼轨迹惯性测量的精度。
Abstract
An elliptic cylindrical fiber optic gyroscope (FOG) for petroleum well trajectory inertial measurement is designed for the special condition of the limited borehole diameter and the large gradient of temperature in inclinometer while drilling (IWD). Due to the thermally induced nonreciprocal phase shift in fiber coil, the three-dimensional (3D) temperature transient response mathematical model of elliptic cylindrical fiber coil is established by quadrupole (QAD) winding method, which is based on the Shupe effect of fiber coil. Combined with the actual working environment of FOG, we use finite element method to numerically simulate elliptic cylindrical fiber coil and analyze the Shupe error at working temperature gradient quantitatively. The experimental results verify the correctness of the model. In order to compare the thermal error rates of two fiber coils, we simulate the cylindrical and elliptic cylindrical fiber coils under the same temperature excitation when the fiber length, the layers of fiber coil and the radius of fiber coil are fixed. The results show that the thermal error rate of the elliptic cylindrical fiber coil is 35% to 39% smaller than that of cylindrical fiber coil and the precision of the well trajectory inertial measurement can be improved when the underground measuring instrument is limited in volume.
赵建辉, 徐帆, 李帆, 徐贺. 随钻测斜仪中光纤陀螺光纤环Shupe效应仿真[J]. 光学学报, 2018, 38(5): 0506001. Jianhui Zhao, Fan Xu, Fan Li, He Xu. Simulation of Shupe Effect in Fiber Optic Gyroscope Fiber Coil with Inclinometer While Drilling[J]. Acta Optica Sinica, 2018, 38(5): 0506001.