A Wave-Energy-Based Precondition Approach to Full-Waveform Inversion in The Time Domain

Using the Hessian matrix to scale the gradients in full-waveform inversion can reduce the artifacts caused by the geometrical spreading and defocusing effects caused by incomplete data coverage. However, it is computationally expensive to calculate the Hessian matrix. We develop a new wave-energy-based precondition method for full-waveform inversion to reduce the artifacts in the gradients caused by the geometrical spreading and defocusing effects. This method scales the gradients using the square root of the wave energy of the forward propagated wavefields from sources and that of backpropagated synthetic wavefields from receivers. We use a complex model to validate the improvements of our new wave-energy-based precondition method for full-waveform inversion. Our results show that our new method provides a faster convergence rate and converges to a more accurate result than the existing precondition methods, particularly for the deep region of the model.