Browsing Department of Earth Science by Author "Jakobsen, Morten"
Now showing items 1-8 of 8
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Homotopy analysis of the Lippmann-Schwinger equation for seismic wavefield modeling in strongly scattering media
Jakobsen, Morten; Huang, Xingguo; Wu, Ru-Shan (Peer reviewed; Journal article, 2020)We present an application of the homotopy analysis method for solving the integral equations of the Lippmann-Schwinger type, which occurs frequently in acoustic and seismic scattering theory. In this method, a series ... -
Homotopy method for seismic modeling in strongly scattering acoustic media with density variation
Xiang, Kui; Jakobsen, Morten; Eikrem, Kjersti Solberg; Nævdal, Geir (Journal article; Peer reviewed, 2020)The wave equation for acoustic media with variable density and velocity can be transformed into an integral equation of the Lippmann-Schwinger type; but for a 4-dimensional state vector involving the gradient of the pressure ... -
Homotopy scattering series for seismic forward modelling with variable density and velocity
Xiang, Kui; Eikrem, Kjersti Solberg; Jakobsen, Morten; Nævdal, Geir (Journal article; Peer reviewed, 2021)We have derived a convergent scattering series solution for the frequency-domain wave equation in acoustic media with variable density and velocity. The convergent scattering series solution is based on the homotopy analysis ... -
A matrix-free variant of the distorted Born iterative method for seismic full-waveform inversion
Xiang, Kui; Jakobsen, Morten; Eikrem, Kjersti Solberg; Nævdal, Geir (Journal article; Peer reviewed, 2023)The distorted Born iterative method reduces a nonlinear inverse scattering problem to a sequence of (ill-posed) linear inverse scattering problems that can be solved using a regularized least-squares formulation. This ... -
Microseismic wavefield modelling in anisotropic elastic media using integral equation method
Shekhar, Ujjwal; Jakobsen, Morten; Iversen, Einar; Berre, Inga; Radu, Florin Adrian (Journal article; Peer reviewed, 2023)In this paper, we present a frequency-domain volume integral method to model the microseismic wavefield in heterogeneous anisotropic-elastic media. The elastic wave equation is written as an integral equation of the ... -
On the applicability of a renormalized Born series for seismic wave modelling in strongly scattering media
Huang, Xingguo; Jakobsen, Morten; Wu, Ru-Shan (Peer reviewed; Journal article, 2020)Scattering theory is the basis for various seismic modeling and inversion methods. Conventionally, the Born series suffers from an assumption of a weak scattering and may face a convergence problem. We present an application ... -
On the relative importance of global and squirt flow in cracked porous media
Ali, Aamir; Jakobsen, Morten (Journal article, 2014)A unified theory of global and squirt flow in cracked porous media was developed several years ago on the basis of a combination of the dynamic T-matrix approach to rock physics. The theory has been successfully used to ... -
Seismic characterization of reservoirs with multiple fracture sets using velocity and attenuation anisotropy data
Ali, Aamir; Jakobsen, Morten (Journal article, 2011)Knowledge about the spatial distribution of the fracture density and the azimuthal fracture orientation can greatly help in optimizing production from fractured reservoirs. Frequency-dependent seismic velocity and attenuation ...