Abstract: We here disclose methods of imaging multishot data without decoding. The end products of seismic data acquisition and processing are images of the subsurface. When seismic data are acquired based on the concept of multishooting (i.e., several seismic sources are exploited simultaneously or near simultaneously and the resulting pressure changes or ground motions are recorded simultaneously there are two possible ways to obtain images of the subsurface. One way consists of decoding multishot data before imaging them that is the multishot data are first converted to a new dataset corresponding to the standard acquisition technique in which one single shot at a time is generated and acquired and then second imaging algorithms are applied to the new dataset. Actually all seismic data processing packages available today require that multishot data be decoded before imaging them because they all assume that data have been collected sequentially.

Abstract: The analysis of scattering diagrams of the correlation-type representation theorem in inhomogeneous media is improved by the use of virtual events. Virtual events here are events which are not directly recorded in standard seismic data acquisition, but the assumption of their existence permits the construction, of internal multiples with scattering points at the sea surface.

Abstract: The analysis of scattering diagrams of the correlation-type representation theorem in inhomogeneous media is improved by the use of virtual events. Virtual events here are events which are not directly recorded in standard seismic data acquisition, but the assumption of their existence permits the construction, of internal multiples with scattering points at the sea surface.

Abstract: A method for coding and decoding seismic data acquired, based on the concept of multishooting, is disclosed. In this concept, waves generated simultaneously from several locations at the surface of the earth, near the sea surface, at the sea floor, or inside a borehole propagate in the subsurface before being recorded at sensor locations as mixtures of various signals. The coding and decoding method for seismic data described here works with both instantaneous mixtures and convolutive mixtures. Furthermore, the mixtures can be underdetemined [i.e., the number of mixtures (K) is smaller than the number of seismic sources (I) associated with a multishot] or determined [i.e., the number of mixtures is equal to or greater than the number of sources). When mixtures are determined, we can reorganize our seismic data as zero-mean random variables and use the independent component analysis (ICA) or, alternatively, the principal component analysis (PCA) to decode.

Abstract: A multi-shooting approach to seismic modeling and acquisition where several shot gathers can be generated simultaneously. The method is called a multi-shooting approach to seismic modeling and acquisition. A multi-shooting modeling method is disclosed which may be carried out on a computer system in either an explicit or an implicit manner. A multi-shooting acquisition method is also disclosed. The finite difference technique has the ability to generate elastic waves from several locations and at different time intervals simultaneously. The multi-shooting approach is based on the property of the finite difference technique. The decoding solution exploits the fact that specific time delays can be imposed between the various shots and that two closely space shooting points produce nearly identical responses.