Application of Regularization Method in Radio Wave Tomography

Radio-wave penetration method is one of the most popular methods for geological detection. Based on Simultaneous Algebraic Reconstruction Technique(SIRT) method, the attenuation coefficients of coal seam are reconstructed. But the inversion resolution for SIRT tomography method is reduced by the poor geometry and low SNR data acquired in mine tunnel. In our study, the Tikhonov and Total Variation(TV) regularization methods for minimization problem are derived to inverse the attenuation coefficients and the influence factors of inversion results are discussed to account for effect on model solutions.Conclusionsare reached from inversion experiment for theoretical models and field data. Regularization methods have better inversion resolution than SIRT method. More fold and higher SNR are important factors to obtain high resolution result. For Tikhonov regularization method, increasing regularization parameter makes the inversion result smoother, while decreasing parameter causes the result closer to the geological anomalies. TV regularization method has opposite property. The inversion result for field data well conform to the known geological anomalies, which shows the feasibility and reliability of the two regularization methods for practical application.