针对Mogi模型垂直位移与水平位移联合反演中的病态问题,改进火山形变总体最小二乘(Total Least Squares,TLS)联合反演的虚拟观测法,并使用方差分量估计(Variance Components Estimation,VCE)方法确定病态问题的正则化参数.将附有先验信...针对Mogi模型垂直位移与水平位移联合反演中的病态问题,改进火山形变总体最小二乘(Total Least Squares,TLS)联合反演的虚拟观测法,并使用方差分量估计(Variance Components Estimation,VCE)方法确定病态问题的正则化参数.将附有先验信息的参数作为观测方程,与垂直位移和水平位移的观测方程联合解算,推导了三类观测方程联合反演的求解公式及基于总体最小二乘方差分量估计确定正则化参数的表达式,给出了算法的迭代流程.通过算例实验,研究了总体最小二乘联合反演的虚拟观测法在火山Mogi模型形变反演中的应用;算例结果表明,三类数据的联合平差及方差分量估计方法可以确定权比因子并得到修正后的压力源参数,具有一定的实际参考价值.展开更多
The Underground Gas Storage( UGS) in Hutubi( HTB),Xinjiang is the largest gas storage reservoir in China and it has significance for coordinating the gas supply and demand relationship,peak-load regulation,implementat...The Underground Gas Storage( UGS) in Hutubi( HTB),Xinjiang is the largest gas storage reservoir in China and it has significance for coordinating the gas supply and demand relationship,peak-load regulation,implementation of strategic reserves,national security, and social economic sustainable development. Therefore, the deformation monitoring and simulation analysis of UGS operation has important technical support and reference value for the stability and safe operation of the underground gas storage. In this paper,we use the elevation data obtained from 7 periods of second-order leveling surveys in the Hutubi underground gas storage area in 2013- 2015 to analyze the influence of gas well pressure on the vertical deformation of the underground gas storage reservoir.Research has shown that the absolute vertical subsidence rate is approximately in the range from 11. 8mm to 16. 1mm and the relative subsidence change is about 4. 3mm,near the surface deformation of Hutubi underground gas storage area except for the annual subsidence rate of- 2. 86 mm by the basic influence of uplift of the Tianshan Mountains.Groundwater over-extraction in the Hutubi area also has an impact on the vertical variation of the surface in this region. The land surface change per unit pressure of gas storage has an impact of about 0. 625mm- 1. 125 mm. 17 scenes Terra SAR-X radar images acquired from August,2013 to August,2014 are exploited by Small Baseline Subset( SBAS) In SAR method to obtain the surface deformation time series during the operation of UGS in Hutubi,meanwhile combined with the pressure data of injection / productionwells,the multi-point source Mogi model is used to simulate the UGS deformation field in Hutubi. The results show that the deformation characteristics of the whole UGS area is a discontinuous distribution with the peak deformation value of 10 mm and- 8mm in the satellite line of sight( LOS) during gas injection and production,respectively and the retrieved deformation sequences correspond very well to the gas injection / production pressure changes. Based on the multi- point source Mogi model, we simulate the deformation process of UGS,HTB,and with the adaptive forward search method,the radius and depth of point source are obtained. The simulated results indicate that when the average injection / production pressure of UGS,HTB is 18 MPa and 15 MPa, LOS deformation is up to 7mm and- 4mm,respectively,and surface deformation is related to the density of gas injection( production) wells. The UGS gas distribution is not uniform,indicating that the structure of underground gas storage is complex. Thus using a more elaborate geomechanical model and other deformation observation data will be helpful for better simulating the UGS internal structure and explaining the mechanism of deformation.展开更多
文摘针对Mogi模型垂直位移与水平位移联合反演中的病态问题,改进火山形变总体最小二乘(Total Least Squares,TLS)联合反演的虚拟观测法,并使用方差分量估计(Variance Components Estimation,VCE)方法确定病态问题的正则化参数.将附有先验信息的参数作为观测方程,与垂直位移和水平位移的观测方程联合解算,推导了三类观测方程联合反演的求解公式及基于总体最小二乘方差分量估计确定正则化参数的表达式,给出了算法的迭代流程.通过算例实验,研究了总体最小二乘联合反演的虚拟观测法在火山Mogi模型形变反演中的应用;算例结果表明,三类数据的联合平差及方差分量估计方法可以确定权比因子并得到修正后的压力源参数,具有一定的实际参考价值.
基金sponsored by the National Natural Science Foundation of China(41474016,41474051,41474097)
文摘The Underground Gas Storage( UGS) in Hutubi( HTB),Xinjiang is the largest gas storage reservoir in China and it has significance for coordinating the gas supply and demand relationship,peak-load regulation,implementation of strategic reserves,national security, and social economic sustainable development. Therefore, the deformation monitoring and simulation analysis of UGS operation has important technical support and reference value for the stability and safe operation of the underground gas storage. In this paper,we use the elevation data obtained from 7 periods of second-order leveling surveys in the Hutubi underground gas storage area in 2013- 2015 to analyze the influence of gas well pressure on the vertical deformation of the underground gas storage reservoir.Research has shown that the absolute vertical subsidence rate is approximately in the range from 11. 8mm to 16. 1mm and the relative subsidence change is about 4. 3mm,near the surface deformation of Hutubi underground gas storage area except for the annual subsidence rate of- 2. 86 mm by the basic influence of uplift of the Tianshan Mountains.Groundwater over-extraction in the Hutubi area also has an impact on the vertical variation of the surface in this region. The land surface change per unit pressure of gas storage has an impact of about 0. 625mm- 1. 125 mm. 17 scenes Terra SAR-X radar images acquired from August,2013 to August,2014 are exploited by Small Baseline Subset( SBAS) In SAR method to obtain the surface deformation time series during the operation of UGS in Hutubi,meanwhile combined with the pressure data of injection / productionwells,the multi-point source Mogi model is used to simulate the UGS deformation field in Hutubi. The results show that the deformation characteristics of the whole UGS area is a discontinuous distribution with the peak deformation value of 10 mm and- 8mm in the satellite line of sight( LOS) during gas injection and production,respectively and the retrieved deformation sequences correspond very well to the gas injection / production pressure changes. Based on the multi- point source Mogi model, we simulate the deformation process of UGS,HTB,and with the adaptive forward search method,the radius and depth of point source are obtained. The simulated results indicate that when the average injection / production pressure of UGS,HTB is 18 MPa and 15 MPa, LOS deformation is up to 7mm and- 4mm,respectively,and surface deformation is related to the density of gas injection( production) wells. The UGS gas distribution is not uniform,indicating that the structure of underground gas storage is complex. Thus using a more elaborate geomechanical model and other deformation observation data will be helpful for better simulating the UGS internal structure and explaining the mechanism of deformation.
