?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F344%2F&rft.title=Full+Wave+Form+Inversion+for+Seismic+Data&rft.creator=Farmer%2C+C.&rft.creator=Hoteit%2C+I.&rft.creator=Luo%2C+X.&rft.creator=Boonyasiriwat%2C+C.&rft.creator=Alkhalifah%2C+T.&rft.subject=Energy+and+utilities&rft.subject=Information+and+communication+technology&rft.description=In+seismic+wave+inversion%2C+seismic+waves+are+sent+into+the+ground+and+then+observed+at+many+receiving+points+with+the+aim+of+producing+high-resolution+images+of+the+geological+underground+details.+The+challenge+presented+by+Saudi+Aramco+is+to+solve+the+inverse+problem+for+multiple+point+sources+on+the+full+elastic+wave+equation%2C+taking+into+account+all+frequencies+for+the+best+resolution.+%0D%0A%0D%0AThe+state-of-the-art+methods+use+optimisation+to+find+the+seismic+properties+of+the+rocks%2C+such+that+when+used+as+the+coefficients+of+the+equations+of+a+model%2C+the+measurements+are+reproduced+as+closely+as+possible.+This+process+requires+regularisation+if+one+is+to+avoid+instability.+The+approach+can+produce+a+realistic+image+but+does+not+account+for+uncertainty+arising%2C+in+general%2C+from+the+existence+of+many+different+patterns+of+properties+that+also+reproduce+the+measurements.%0D%0A%0D%0AIn+the+Study+Group+a+formulation+of+the+problem+was+developed%2C+based+upon+the+principles+of+Bayesian+statistics.+First+the+state-of-the-art+optimisation+method+was+shown+to+be+a+special+case+of+the+Bayesian+formulation.+This+result+immediately+provides+insight+into+the+most+appropriate+regularisation+methods.+Then+a+practical+implementation+of+a+sequential+sampling+algorithm%2C+using+forms+of+the+Ensemble+Kalman+Filter%2C+was+devised+and+explored.&rft.date=2011&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F344%2F1%2FAramco.pdf&rft.identifier=++Farmer%2C+C.+and+Hoteit%2C+I.+and+Luo%2C+X.+and+Boonyasiriwat%2C+C.+and+Alkhalifah%2C+T.++(2011)+Full+Wave+Form+Inversion+for+Seismic+Data.++%5BStudy+Group+Report%5D+++++