{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9702997","patent":{"patent_number":"US-9702997","title":"Wave-equation migration velocity analysis using image warping","assignee":null,"inventors":[],"filing_date":"2012-07-12T00:00:00.000Z","publication_date":"2017-07-11T00:00:00.000Z","cpc_codes":["G06T"],"num_claims":20,"abstract":"An objective function is disclosed that extracts the velocity error information directly in the image domain without computing common-image gathers. Because of the dimensionality of the problem, gradient-based methods (such as the conjugate-gradient algorithm) are used in the optimization procedure. In order to include the full complexity of the wavefield in the velocity estimation algorithm, a two-way (as opposed to one-way) wave operator is considered, where the imaging operator is not linearized with respect to the model parameters (as in linearized wave-equation migration velocity analysis), and the gradient of the objective function is determined using the adjoint-state method. The velocity estimation methodology is illustrated with a few synthetic examples."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Wave-equation migration velocity analysis using image warping","description":"An objective function is disclosed that extracts the velocity error information directly in the image domain without computing common-image gathers. Because of the dimensionality of the problem, gradi","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9702997","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9702997","citation_suggestion":"Patentable. \"Wave-equation migration velocity analysis using image warping\" (US-9702997). https://patentable.app/patents/US-9702997","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9702997","json":"https://patentable.app/api/llm-context/US-9702997","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T05:33:39.655Z"}