Estimating of crustal thickness and vP/vS ratio using receiver function，surface wave and gravity data
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摘要: 提出了一种利用接收函数、面波频散和重力数据联合约束地壳厚度、vP/vS和平均P波速度的改进方法，并基于两种地壳模型对改进后的方法进行了验证。结果显示，改进后的方法不仅可以提高地壳厚度和波速比的估计精度，还能更准确地估计地壳平均P波速度。在此基础上，将该方法应用于华南地区两个固定台站的地壳结构分析，相关结果也证实了该方法在确定地壳结构中的可行性。Abstract: Crustal thickness H and vP/vS ratio are two basic parameters for deciphering the crustal structure. We present an improved technique to constrain crustal thickness, vP/vS ratio and average P-wave velocity by using receiver function, surface wave dispersion and gravity data. Synthetic tests show that the improved method not only can accurately estimate H and vP/vS ratio, but also can give a reliable determination of the average crustal vP. Field data from two stations of South China are analyzed by the improved method, and the results also show the feasibility of the new method in constraining crustal properties.
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图 1 用于正演测试的两个速度模型
（a） 简单速度模型（模型Ⅰ）；（b） 含低速层的速度模型（模型Ⅱ）
Figure 1. Two velocity models used for forward testing
（a） Simple velocity model；（b） Velocity model including a low velocity layer
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图 3 用于理论重力异常正演而构建的地壳厚度（a）和波速比（b）分布模型
Figure 3. The crustal thickness （a） and vP/vS ratio （b） used for synthetic gravity anomaly
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图 4 基于模型（图3）正演得到的布格重力异常
（a） 莫霍面起伏引起的重力异常；（b） 地壳内密度不均匀引起的重力异常；（c） 理论合成的布格重力异常
Figure 4. Synthetic Bouguer gravity anomalies for the model in Fig. 3
（a） The modeled gravity anomalies associated with undulation Moho interface；（b） The modeled gravity anomalies associated with crustal heterogeneous density distribution； （c） The modeled Bouguer gravity anomalies with 5% Gaussian noise
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图 5 基于模型Ⅰ（图1a）得到的地壳厚度H-波速比κ约束图（图中白线代表最优值68%的置信区间）
（a） 接收函数H-κ叠加谱；（b，c） 初始P波速度为6.1和6.2 km/s时的面波H-κ似然谱；（d） 重力H-κ似然谱；（e，f） 初始P波速度为6.1和6.2 km/s时，接收函数与重力联合约束谱；（g） 接收函数、面波和重力联合约束谱
Figure 5. H-κ stacking map based on model Ⅰ（Fig.1a） where white lines delineate 68% confidence interval
（a） The receiver function H-κ stacking map；（b，c） The surface wave H-κ likelihood map with initial vP＝6.1 and 6.2 km/s；（d） The gravity H-κ likelihood map； （e，f） Normalized SRSG with vP＝6.1 km/s and vP＝6.2 km/s；（g） Joint H-κ stacking map
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图 6 基于模型Ⅱ（图1b）得到的H-κ约束图（图中白线代表最优值68%的置信区间）
（a） 接收函数H-κ叠加谱；（b） 面波H-κ似然谱；（c） 重力H-κ似然谱；（d） 初始P波速度为6.1 km/s时，接收函数与重力联合约束谱；（e） 接收函数、面波和重力联合约束谱
Figure 6. H-κ stacking map based on model Ⅱ（Fig.1b） where white lines represent 68% confidence interval
（a） Receiver function H-κ stacking map；（b） Surface wave H-κ likelihood map with vP＝6.1 km/s；（c） Gravity H-κ likelihood map；（d） Normalized SRSG with vP＝6.1 km/s；（e） Joint H-κ stacking map
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图 8 台站HB_NZH数据资料及计算得到的H-κ约束图（图中白线代表最优值68%的置信区间）
（a） HB_NZH台站观测接收函数；（b） 实测瑞雷波群速度频散U （Li et al，2013）；（c） 接收函数H-κ叠加谱；（d） 面波H-κ似然谱；（e） 重力H-κ似然谱；（f） 联合约束谱
Figure 8. Data and H-κ stacking map of station HB_NZH where white lines in Figs. （c）–（f） represent the 68 percent confidence interval
（a） Observed receiver functions of station HB_NZH；（b） Observed dispersions U （Li et al，2013）； （c） Receiver function H-κ stacking map；（d） Surface wave H-κ likelihood map； （e） Gravity H-κ likelihood map；（f） Joint H-κ stacking map
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图 9 台站HB_YDU数据资料及计算得到的H-κ约束图（图中白线代表最优值68%的置信区间）
（a） HB_YDU台站实测接收函数；（b） 实测瑞雷波群速度频散U （Li et al，2013）；（c） 接收函数H-κ叠加谱；（d） 面波频散H-κ似然谱；（e） 重力H-κ似然谱；（f） 联合约束谱
Figure 9. Data and H-κ stacking map of station HB_YDU where white lines in Figs. （c）−（f） represent 68 percent confidence interval
（a） Observed receiver functions；（b） Observed dispersions U （Li et al，2013）；（c） Receiver function H-κ stacking map； （d） Surface wave H-κ likelihood map；（e） Gravity H-κ likelihood map；（f） Joint H-κ stacking map
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