Testing the volume integrals of travel-time sensitivity kernels for flows

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Table A.1.

Comparison table of modelled and inferred volume integrals for all considered travel-time kernels.

Mode	Δ	Kernel integral	Slope of Eq. (7)	Ratio
	[px]	[s/(km/s)]	[s/(km/s)]
f	5.0	−47.28	52.71	−1.11
f	6.0	−62.04	65.36	−1.05
f	7.0	−78.11	79.32	−1.02
f	8.0	−96.64	92.40	−0.96
f	9.0	−114.20	109.96	−0.96
f	10.0	−131.85	120.31	−0.91
f	11.0	−147.04	138.90	−0.94
f	12.0	−160.99	148.61	−0.92
f	13.0	−171.84	163.52	−0.95
f	14.0	−183.12	171.53	−0.94
f	15.0	−191.37	184.79	−0.97
f	16.0	−201.32	191.85	−0.95
f	17.0	−209.17	201.19	−0.96
f	18.0	−219.13	212.50	−0.97
f	19.0	−227.26	216.62	−0.95
f	20.0	−237.99	231.14	−0.97
p1	5.0	−28.49	31.97	−1.12
p1	6.0	−34.98	37.22	−1.06
p1	7.0	−41.51	44.68	−1.08
p1	8.0	−48.55	52.32	−1.08
p1	9.0	−55.60	59.03	−1.06
p1	10.0	−63.31	66.50	−1.05
p1	11.0	−70.62	74.56	−1.06
p1	12.0	−78.00	81.55	−1.05
p1	13.0	−85.17	89.56	−1.05
p1	14.0	−92.60	96.07	−1.04
p1	15.0	−99.24	105.81	−1.07
p1	16.0	−106.20	109.87	−1.03
p1	17.0	−112.68	119.97	−1.06
p1	18.0	−118.66	122.89	−1.04
p1	19.0	−124.64	133.35	−1.07
p1	20.0	−131.46	137.21	−1.04
p2	5.0	−15.62	16.75	−1.07
p2	6.0	−19.79	24.20	−1.22
p2	7.0	−23.77	26.68	−1.12
p2	8.0	−27.45	28.39	−1.03
p2	9.0	−30.85	34.11	−1.11
p2	10.0	−34.24	38.73	−1.13
p2	11.0	−37.97	40.67	−1.07
p2	12.0	−41.86	45.66	−1.09
p2	13.0	−45.82	50.54	−1.10
p2	14.0	−49.53	53.00	−1.07
p2	15.0	−53.00	57.86	−1.09
p2	16.0	−56.85	62.32	−1.10
p2	17.0	−60.83	64.98	−1.07
p2	18.0	−64.42	70.26	−1.09
p2	19.0	−68.05	73.36	−1.08
p2	20.0	−71.80	76.65	−1.07
p3	5.0	−8.20	8.44	−1.03
p3	6.0	−9.95	9.48	−0.95
p3	7.0	−12.62	12.40	−0.98
p3	8.0	−15.46	16.25	−1.05
p3	9.0	−17.63	18.57	−1.05
p3	10.0	−19.25	19.85	−1.03
p3	11.0	−20.99	21.28	−1.01
p3	12.0	−23.03	23.04	−1.00
p3	13.0	−25.24	25.32	−1.00
p3	14.0	−27.45	27.64	−1.01
p3	15.0	−29.49	29.40	−1.00
p3	16.0	−31.40	31.22	−0.99
p3	17.0	−33.43	33.66	−1.01
p3	18.0	−35.52	35.46	−1.00
p3	19.0	−37.63	37.04	−0.98
p3	20.0	−39.77	38.47	−0.97
p4	5.0	−6.05	10.25	−1.70
p4	6.0	−5.33	7.06	−1.33
p4	7.0	−6.02	6.10	−1.01
p4	8.0	−7.32	6.61	−0.90
p4	9.0	−8.95	7.86	−0.88
p4	10.0	−10.66	9.47	−0.89
p4	11.0	−11.99	11.33	−0.94
p4	12.0	−12.77	13.33	−1.04
p4	13.0	−13.40	14.82	−1.11
p4	14.0	−14.24	15.40	−1.08
p4	15.0	−15.35	15.42	−1.00
p4	16.0	−16.63	15.62	−0.94
p4	17.0	−17.94	16.48	−0.92
p4	18.0	−19.10	18.00	−0.94
p4	19.0	−20.05	19.86	−0.99
p4	20.0	−20.92	21.34	−1.02
td1	2.5	−39.43	−5.01	0.13
td1	3.4	−50.46	−5.01	0.10
td1	4.2	−55.64	25.48	−0.46
td1	5.1	−60.84	21.82	−0.36
td1	6.0	−67.35	15.55	−0.23
td2	4.2	−50.62	21.56	−0.43
td2	5.1	−57.73	40.57	−0.70
td2	6.0	−61.46	35.99	−0.59
td2	6.8	−69.44	55.52	−0.80
td2	7.7	−74.02	57.45	−0.78
td3	6.0	−63.73	38.09	−0.60
td3	7.0	−72.10	50.28	−0.70
td3	7.9	−74.42	58.24	−0.78
td3	8.9	−79.60	64.57	−0.81
td3	9.9	−84.18	73.52	−0.87
td4	9.9	−61.41	40.69	−0.66
td4	10.8	−61.30	46.88	−0.76
td4	11.6	−63.35	60.95	−0.96
td4	12.4	−64.19	60.95	−0.95
td4	13.3	−63.68	60.03	−0.94
td5	13.0	−45.37	39.25	−0.87
td5	15.0	−50.37	58.11	−1.15
td5	17.0	−48.79	54.17	−1.11
td5	18.0	−48.96	58.58	−1.20
td5	20.0	−50.48	61.70	−1.22
td6	18.0	−70.79	84.88	−1.20
td6	19.0	−32.61	43.44	−1.33
td6	21.0	−37.74	45.92	−1.22
td6	22.0	−53.66	70.21	−1.31
td6	24.0	−39.21	48.58	−1.24
td7	22.0	−37.92	56.06	−1.48
td7	23.0	−32.18	41.83	−1.30
td7	25.0	−51.49	72.09	−1.40
td7	27.0	−36.45	50.51	−1.39
td7	29.0	−39.76	57.62	−1.45
td8	26.0	−29.82	39.78	−1.33
td8	28.0	−36.02	47.63	−1.32
td8	29.0	−44.73	65.63	−1.47
td8	31.0	−35.49	48.57	−1.37
td8	33.0	−34.48	46.36	−1.34
td9	30.0	−31.85	47.45	−1.49
td9	32.0	−32.57	46.97	−1.44
td9	34.0	−36.22	60.67	−1.67
td9	35.0	−33.85	56.15	−1.66
td9	37.0	−32.13	47.08	−1.47
td10	35.0	−21.78	39.61	−1.82
td10	36.0	−22.85	42.70	−1.87
td10	38.0	−31.20	60.62	−1.94
td10	39.0	−30.22	57.55	−1.90
td10	41.0	−24.35	46.56	−1.91
td11	39.0	−13.80	25.39	−1.84
td11	40.0	−17.70	33.59	−1.90
td11	42.0	−29.45	64.82	−2.20
td11	44.0	−22.76	45.85	−2.01
td11	46.0	−16.95	30.16	−1.78

Notes. The table contains considered numbers for each investigated sensitivity kernel. We state mode and distance Δ, the volume integral of the kernel from the forward modelling, and the slope of Eq. (7) that should correspond to the kernel integral. These two recent values are displayed in Figs. 4 and 5. We recall that due to the implementation of the tracking, the two expressions for the volume integral of the kernel should have opposite signs. In the last column, the ratio of the two previous numbers is given. The ratios are colour-coded. When black, the difference between the numbers is less than 10%, if blue, the difference is less than 20%. In the case of the orange color, the difference is less than 50% of the expected volume integral and if this threshold is exceeded, the ratio is colour-coded with a red colour.

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