Focal Transformation Research And Application In Seismic Data Denoising And Interpolation

Oil and gas resources are important energy for human survival and development. Nowadays, with the increasing levels of exploration and the continuous extension of the exploration area, seismic exploration is becoming much more difficult than ever before. Complex surface and geological conditions led to variety of deep seismic signal distortion,as a result, the signal to noise ratio of seismic record is lower.Also complex noise type and weak effective signals severely restricted the high-resolution seismic data processing.Seismic data.We continuous search for more efficient signal processing method,in order to deal with various problems in seismic data processing. Focus transformation is a new data processing method recently been proposed,which is based on SRME method.This transformation is a adaptive process, regardless of medium effect on the wave propagation characteristics. Applying this method in seismic data processing helps us open new ideas in signal to noise ratio improvement.This paper systematicly studied the new Focal transformation which is based on conventional Focal and combined with the Curvelet iteration threshold method. For the purpose of dealing with noise attenuation of seismic data and seismic interpolation deletion trace. We focused on the problem of random noise attenuation of seismic data processing and seismic deficiency trace interpolation based on the high signal energy concentration of Focal transformation and good sparsity of Curvelet transformation.Focus transformation was first introduced in 2003 by Berkhout, applied on anti-aliasing noise in 2004. The method was originated in the removal of free surface multiples (SRME) method.However, The process is exactly the opposite. Instead of using original weighted convolution, cross-correlation process was applied.It has been found that through focused transformation, the surface effect on the wave propagation was removed, and the purpose of multiple wave reduction can be achieved.According to this feature, focus transformation can be applied to seismic data processing as a process tool. The focus is how to build a appropriate focusing operator according to obtained seismic data, and then remove random noise. Similarly, if processing coherent noise, we build the corresponding operator under different circumstances.In this paper, we combined Curvelet iteration threshold with conventional Focal transformation based on the work of predecessors, and applied this method on the random noise attenuation and seismic deficiency trace interpolation. Known from previous work in two-dimensional case, Curvelet threshold iterative method can achieve good results in denoising.However, when the percentage of trace loss is greater than 40%, the interpolation result is getting poorer and poorer with the increasing percentage of loss ratio, Pseudo-frequency noise can not be removed too. Three-dimensional Curvelet transform was applied in processing in this paper. Three-dimensional transformation is an extension of two-dimensional transform, the mathematical theory is same with two-dimensional transform. Two-dimensional transform has given the best description for two-dimensional objects which has singular points along smooth curves. Similarly, three-dimensional Curvelet transform has given the best optimized description of three-dimensional objects which has singular point along a smooth two-dimensional surface. The algorithm can be obtained from two-dimensional transformation.After the combination with Curvelet iteration threshold, the new focal transformation converted the processing problem to the solving sparse optimization Inversion problem. Based on the work of predecessors known, Curvelet transform has better sparse nature than Fourier transform and wavelet transform,which has laid a theoretical foundation for the better processing results of this new method. Thus, new denoising and interpolation method can be described as one-norm optimization inverse problem.Seismic data noise (random noise reduction and aliasing noise reduction) is the main contents of this paper. Based on previous work,I make a systematic analysis on the subject and relevant issues,which is focus on the application research of Focal transformation in seismic data processing. Mainly completed the following work: (1)Through inspection and collection of relevant information,I make in-depth understanding and analysis in Focal transformation and relevant content:â‘ Berkhout data matrix representation, and the derivation of WRW model forward seismic data principle.â‘¡Start by the removal of free surface multiples, introduced the principle of Focal transformation. â‘¢Dscourse of Focusing operator constructing(2)Systematically understand the principle of Curvelet transform, focused on the 3D Curvelet transform developed on the second-generation discrete Curvelet transform.â‘ Develop process of Curvelet transformâ‘¡2D transform theory,and the extended 3D transformation principleâ‘¢Discussed the inverse demand optimization problem from the combination of Curvelet transform and Iteration threshold. (3)The core of this paper is the Formation of Sparse inverse optimization problem form the combination of Curvelet transform and Iteration threshold. (4)Processing model data spreadsheet under the guidance of the above theory, which verifies the correctness and effectiveness of this approach. (5)Summarizing my work.