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Table 1 Parameters used in the inversions with a maximal depth of 6 km

From: The northeastern Algeria hydrothermal system: gravimetric data and structural implication

\((n_{s_e}, de)\)

\((n_{s_n}, dn)\)

Origin

East

North

\((\tau _1, \tau _2)\)

K

\(\chi ^2\)

mean

(108, 193)

(77, 194)

(340.2, 4030.2)

20.8

14.9

(0.001, 0.001)

8

0.647

0.079

(54, 193)

(56, 194)

(350.6, 4037.8)

10.4

10.9

(0.001, 0.0004)

15

0.868

0.129

  1. Data used in generating the solutions for each region are indicated in Table 1. The parameters of the first row correspond to region (a) of (Fig. 3), the second row gives the parameters used in the inversion of gravity data of region (b). Convergence was attained at K iterations with the given \(\chi ^2\) values, for \(n_{s_e}\) and \(n_{s_n}\) stations in East and North directions. In both inversions we used 30 layers each 200 m thick, corresponding to a total depth of 6 km. Cells sizes in East and North directions are de and dn. The choices for \(n_{s_e}\) and \(n_{s_n}\), and hence de and dn were made to obtain a grid that is close to 200m in each direction, for each region. The origin measured in the East-North coordinates for the region covered by the stations is given as Origin measured in km. The total dimensions of the domain measured in km, for the region covered by the stations, is given as East and North. The observed data are weighted with the given \(\tau _1\) and \(\tau _2\). Padding of 2 cells is applied in East and North directions. The mean value for the entries of the weighted residual for the prediction of the observed data is given as mean