Table 4 The true values, search space, and inversion results for a single source anomaly using EKI with noise-free and 10% Gaussian noise-contaminated data.

From: Regularized ensemble Kalman inversion for robust and efficient gravity data modeling to identify mineral and ore deposits

Model parameters

True

Search space

Noise free

Noise contaminated

\(A~\left( {{\text{~mGal}}.{{\text{m}}^2}{\text{~}}} \right)\)

500

200–700

501.41 ± 12.36

542.79 ± 75.41

z (m)

25

10–50

24.99 ± 0.03

22.45 ± 0.75

\({x_0}\) (m)

-50

-200–200

-50.00 ± 0.00

-49.86 ± 0.06

q

1

0.5–1.5

0.99 ± 0.00

0.92 ± 0.01

\(\mu\)

1

0–1

0.99 ± 0.01

0.80 ± 0.07

Minimum objective function (mGal)

9.67e-06

0.40

The median objective function (mGal)

2.42e-04

0.40

The interquartile range of the objective function (mGal)

4.74e-04

3.16e-04