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Marchenko multiple elimination (MME) is a multiple attenuation method that does not require prediction or subtraction, and is independent of the model. Previous studies have demonstrated its effectiveness in synthetic data. The successful application of this method relies on the following conditions: 1) high signal-to-noise ratio (minimal noise interference), 2) high-density sampling, and 3) minimum-phase wavelet. However, in practical land field data, these assumptions are often difficult to meet due to real-world factors, making the application of MME on land data challenging. To overcome these challenges, we investigated the impact of noise and sampling density on the application of MME in land data. Based on these findings, we improved the MME method and developed an MME processing system based on compressed sensing principles. Tests on field data showed that the improved MME system effectively attenuates multiples, laying a solid foundation for the application of MME in land field data.