A Fast Interpretation Method for Inverse Modeling of Residual Gravity Anomalies Caused by Simple Geometry

Table 3

Numerical results of the present method applied to the sphere synthetic example (𝑞=1.5, 𝑧=5 km, and 𝐴=500 mGal * km²; profile length = 20 km; sampling interval = 1 km) without and with 10% random noise.

	Using synthetic data			Using data with 10% random errors
𝑀 (km)	Computed depth (km)	Computed shape factor	Computed amplitude factor (mGal)	Computed depth (km)	Computed shape factor	Computed amplitude factor (mGal)
2.00	5.00	1.50	500.00	2.79	1.39	334.34
3.00	5.00	1.50	500.00	4.48	1.17	146.71
4.00	5.00	1.50	500.00	4.99	1.44	407.92
5.00	5.00	1.50	500.00	3.00	1.20	271.76
6.00	5.00	1.50	500.00	5.07	1.49	493.73
7.00	5.00	1.50	500.00	5.07	1.49	496.48
8.00	5.00	1.50	500.00	5.30	1.62	844.65
9.00	5.00	1.50	500.00	5.25	1.59	750.98
10.00	5.00	1.50	500.00	5.16	1.54	602.08
Average (km)	5.00	1.50	500.00	4.56	1.44	483.18
Percent of error	0.00	0.00	0.00	8.80	4.66	3.36