基于Hampel三截尾函数的储层弹性和物性参数同步反演

发布时间：2019-06-18 22:44

【摘要】：常规的地震反演方法通常假设噪声信号服从高斯分布,以此构建出的目标函数在特定地区反演效果好,但其普适性较小。假设地震噪声信号和岩石物理模型误差服从高斯分布且带有加性脉冲噪声,引入Hampel三截尾函数构造能够同时压制高斯噪声和脉冲噪声的反演目标函数,利用牛顿法求解目标函数得到储层弹性和物性参数反演的迭代公式,并通过阈值的选择适应噪声分布不同的地区。该算法利用Hampel三截尾函数构建加权矩阵,能在一定程度上自适应调节地震数据、岩石物理约束和先验信息之间的权重,消除地震和岩石物理噪声的统计性误差造成的反演不稳定性,最终得到稳定的储层弹性和物性参数反演结果。通过理论模型测试和实际资料应用显示了算法的稳定性和可靠性。
[Abstract]:Conventional seismic inversion methods usually assume that the noise signal obeys the Gaussian distribution, and the objective function constructed by this method has good inversion effect in a specific area, but its universality is small. Assuming that the error of seismic noise signal and petrophysical model obeys Gaussian distribution and has additive impulse noise, Hampel three truncated functions are introduced to construct the inversion objective function which can suppress both Gaussian noise and impulse noise at the same time. Newton method is used to solve the objective function to obtain the iterative formula of reservoir elastic and physical parameter inversion, and the selection of threshold is used to adapt to the different areas of noise distribution. The algorithm uses Hampel three-truncated function to construct weighted matrix, which can adaptively adjust the weight between seismic data, petrophysical constraints and prior information to a certain extent, eliminate the inversion instability caused by statistical errors of seismic and rock physical noise, and finally obtain stable inversion results of reservoir elastic and physical parameters. The stability and reliability of the algorithm are shown by theoretical model test and practical data application.
【作者单位】：电子科技大学通信与信息工程学院;西南交通大学信号与信息处理四川省重点实验室;
【基金】：国家自然科学基金联合基金项目(U1562218)资助~~
【分类号】：P631.4

【参考文献】