重力梯度法的角点位置最优化选取研究(英文)

重力梯度法的角点位置最优化选取研究(英文)Optimization of corner positions in gravity gradient methodGravity gradient met

() 重力梯度法的角点位置最优化选取研究英文 Optimizationofcornerpositionsingravitygradientmethod Gravitygradientmethodisageophysicalexploration techniquethatmeasuresthespatialvariationsinthegravitational fieldoftheEarth.Themethodisbasedontheprinciplethatthe spatialgradientofthegravitationalfieldisinverselyproportional tothedistancebetweenthemeasurementpoints.Inpractice,this meansthatthegravitygradientmethodrequiresmeasurementsat closelyspacedpoints,typicallyontheorderoftensofmetersor less. Oneoftheimportantconsiderationsingravitygradient methodistheselectionofcornerpositions.Thecornerpositions definethespatialresolutionofthemethodanddeterminethe accuracyofthemeasurements.Inthispaper,wewillinvestigate theoptimizationofcornerpositionsingravitygradientmethod. Thebasicideaofcornerpositionoptimizationistofindthe bestdistributionofmeasurementpointsthatmaximizesthe spatialresolutionandminimizesthemeasurementerrors.There areseveralfactorsthatneedtobeconsideredincornerposition optimization,includingthegeometryandsizeofthetarget,the noiselevelinthemeasurements,andthecomputationalresources availablefordataprocessing. Toillustratethecornerpositionoptimizationprocess,wewill considerasimpleexample.Supposewewanttolocateasmall objectburiedintheground.Theobjecthasasquareshapewitha sidelengthof1meter.Thetargetisburiedatadepthof2meters, andwewanttolocateitwithaspatialresolutionof0.1meter. Toachievethislevelofspatialresolution,weneedtoplace themeasurementpointsatadistanceofnomorethan0.1meter fromeachother.Thetotalnumberofmeasurementpoints requiredistherefore100.However,simplydistributingthe measurementpointsevenlyoverthesquareareawouldnotbe optimal.Weneedtofindadistributionthatminimizesthe measurementerrorsandmaximizesthespatialresolution. Oneapproachtocornerpositionoptimizationistouse numericaloptimizationtechniquessuchasgeneticalgorithmsor simulatedannealing.Thesetechniquessearchforthebest