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This paper presents two novel methodologies related to multiple elimination on land seismic data. The first one is based on a model-based algorithm that takes into account the unique characteristics of land seismic datasets. It operates entirely in the time-offset domain and thus avoids the artifacts associated with conventional multi-channel transforms. The second methodology is a full data-driven, automated approach firmly rooted to the principles of inverse data technology and targets internal multiples. Internal multiples are estimated by a simple muting process in the inverse data space. The performance of both methodologies is shown with a series of land datasets from the Arabian Peninsula.