Page 23 - 201806
P. 23

第 37 卷 第 6 期 王颖等: 孔隙介质与液体界面上波动方程数值模拟的改进方案——MPML 边界条件的应用                                     853



                                          20
                                          40
                                          60
                                          80
                                        ᡰሏ/m  100                ̌ߘ
                                         120
                                         140
                                         160 v p =3.5 km/s  v p =2.5 km/s  v p =3.5 km/s
                                             v s =2.0 km/s  v s =1.2 km/s  v s =2.0 km/s
                                         180
                                         200
                                                    50       100       150      200
                                                             ᡰሏ/m
                                                  图 4  充填液体的井孔模型
                                            Fig. 4 Borehole model with liquid filling

                   0.1 m  0.1 0                                 0.1 m  0.1
                    -0.1                                         -0.1
                                                                  0.1
                     0.1
                   0.5 m  0                                     0.5 m
                    -0.1                                         -0.1
                                                                  0.1
                     0.1
                   0.9 m  0                                     0.9 m
                    -0.1                                         -0.1
                                                                  0.1
                     0.1
                   1.3 m  0                                     1.3 m
                    -0.1                                         -0.1
                                                                  0.1
                     0.1
                   1.7 m  0                                     1.7 m
                    -0.1                                         -0.1
                                                                  0.1
                     0.1
                   1.9 m  0                                     1.9 m
                    -0.1                                         -0.1
                       0   1   2   3   4  5   6   7   8   9          0  1   2   3   4   5  6   7   8   9
                                     ᰦ䰤/10 -3  s                                  ᰦ䰤/10 -3  s
                                      (a) PML                                    (b) MPML
                                            图 5  不同源距处接收信号,记录长度 9 ms
                             Fig. 5 Signal at different source-receiver distances with record length of 9 ms

                       T10 33
                   0.1 m  0                                     0.1 m  0.1 0
                      2
                    -2 2                                        -0.1
                   0.5 m  0                                     0.5 m  0.1 0
                    -2 2                                        -0.1
                   0.9 m  0                                     0.9 m  0.1 0
                    -2 2                                        -0.1
                   1.3 m  0                                     1.3 m  0.1 0

                    -2 2                                        -0.1
                   1.7 m  0                                     1.7 m  0.1 0
                    -2 2                                        -0.1
                   1.9 m  0                                     1.9 m  0.1 0
                    -2                                          -0.1  0  0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8
                       0  0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8  0.9
                                       ௑ᫎ/s                                          ௑ᫎ/s
                                      (a) PML                                      (b) MPML
                                            图 6  不同源距处接收信号,记录长度 0.9 s
                             Fig. 6 Signal at different source-receiver distances with record length of 0.9 s
   18   19   20   21   22   23   24   25   26   27   28