Quantitative control of migration: A geostatistical attempt

This paper is devoted to a geostatistical attempt at modeling migration err ors when localizing a reflector in the ground. Starring with a probabilisti c velocity model and choosing the simple geometrical optics background for the wave propagation in such media, we give the expression of the errors. T his,nay be quantified provided the covariance of the velocity field is know n. Variance of arrival times at constant offset is related to the covarianc e of the velocity field at hand A practical application is given in the sa, ne paragraph. After that we give a typical schema for migration and uncerta inty modeling: starling with seismic data, we make the weak seismic inversi on. We then obtain the covariance of the velocity field that,we use for sim ulating migration errors. The main issues of this methodology are discussed in the last paragraph.