Self-affine gravity covariance model for the Bay of Bengal

Physics

Scientific paper

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Scientific paper

An anisotropic covariance model embedded with self-affine characteristics of gravity and bathymetry anomalies is proposed. High-resolution free air gravity data obtained from the high-density satellite altimetry data have been used to study the self-affinity of the gravity measurements. The digital terrain model-5 (DTM-5) is used for the bathymetry data. The Hurst coefficients (H) are calculated using 2-D power spectral density of the free air gravity and bathymetry data from 140 blocks of 1°× 1°. The Hurst coefficients (H) are also determined for free air gravity data along 24 orthogonal profiles using rescaled range (R/S) analysis. Further, the estimated H values are used in order to find the appropriate gravity and bathymetry covariance model for the area. The average value of H is more for 2-D free air gravity data as compared with the bathymetry data. The H values from the 1-D free air gravity profiles are found to be 0.75 and 0.77 along the N-S and E-W directions, respectively. The Von Karman covariance model with different correlation lengths is found to be suitable for 2-D and 1-D free air gravity and 2-D bathymetry data.

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