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Optimization design of amplitude weighting for linear phased array transmitters in acoustic well logging
SUN Zhi-feng, QIAO Wen-xiao, CHE Xiao-hua
(School of Resource and Information Technology in China University of Petroleum, Beijing 102249, China)
Abstract:
Optimization design of amplitude weighting for linear phased array acoustic transmitters in acoustic well logging was studied. Optimum weighting factors were determined by the method of augmented Lagrange algorithms. The optimum parameters in objective functions were searched for the case of minimization of main lobe width and side lobes respectively. Directivity and main lobe width were compared for the linear phased array acoustic transmitters with amplitude weighting and non-amplitude weighting using numerical examples. It is shown that the optimization design can make the side lobes minimize and the main lobe width narrow under a certain sound level of side lobes. The optimum method of amplitude weighting can be applied in acoustic well logging to provide appropriate parameters for the linear phased array acoustic transmitters in different cases.
Key words:  amplitude weighting  linear phased array transmitters  optimization design  acoustic well logging