DETERMINING THE OPTIMAL TIKHONOV PARAMETERS FOR 2-D AND 3-D GRAVITY INVERSE PROBLEMS

Lương Phước Toàn¹, Đặng Văn Liệt²

¹Mien Tay Construction University, 20B, Pho Co Dieu street, 03 precinct, Vinh Long, VN

²University of Science - HCM City, 227, Nguyen Van Cu street, 05 district, HCM City, VN

Abstract: In this paper, we determine the optimal Tikhonov parameters in the gravity inverse problems - namely determining the thickness of the sedimentary basin - using genetic and memetic algorithms for 2-D and 3-D problems, respectively. The sedimentary basin model, whose density contrast varies with depth as a parabolic function, composed of vertical juxtaposed prisms (2-D) and rectangular blocks (3-D). This is a linear inverse problem; therefore, the L curve criterion is used to determine the optimal regularization parameter. The results showed that the optimal regularization parameters are 0.05 for 2-D problem, and 0.01 for 3-D one.

Keywords: The tikhonov parameter, the l–curve criterion, the gravity inverse problem, the optimization technique.