二维波动方程测井约束反演的自适应同伦共轭梯度法

Adaptive homopoty conjugate gradient method for inversion of two-dimensional wave equation with well log constraint

波动方程反演问题在许多领域中具有广泛应用,它面临非线性、不适定性和计算量巨大的问题。针对波动方程反问题的特点,以二维波动方程反问题为数学模型,通过利用地震资料和测井资料联合反演技术,将同伦共轭梯度法与测井约束相结合,对模型的速度参数进行联合反演,以获得完整的速度参数分布信息,从而使波动方程反演具有更强的抗噪能力和更高的计算精度。

The inversion problem of wave equation has a wide range of applications in many areas.It faces non-linear,ill-posed difficulty and needs a huge amount of computation.Due to the characteristics of the inversion problem of wave equation,the 2-D wave equation model is considered.A joint inversion to the velocity parameter of the model is given by using the joint inversion technique of seismic data and well-log information and associating the homotopy conjugate gradient method with the logging restriction,which achieves the whole distributed information of the velocity parameter.Consequently,the wave equation inversion has stronger anti-noise capability and higher calculation accuracy.