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![Relation between forward/Jacobian <span class="search-highlight">mesh</span> (green) and inversion model <span class="search-highlight">mesh</span> (or...]()
![The Dongguashan mine model: (a) the x z -section of the <span class="search-highlight">octree</span> <span class="search-highlight">mesh</span>...]()
![Illustration of the <span class="search-highlight">octree</span> <span class="search-highlight">mesh</span> refinement for a three-layered (1/4/100 Ωm)...]()
![Discretization of a power-line loop using an <span class="search-highlight">octree</span> <span class="search-highlight">mesh</span>. Vertical sections...]()
![Visualization of <span class="search-highlight">OcTree</span> <span class="search-highlight">mesh</span> discretization of the conductivity model.]()
![<span class="search-highlight">Octree</span> <span class="search-highlight">mesh</span> illustration, where the filled circles denote hanging nodes on ...]()
![The sparsity patterns of the model weighting matrix ( W m T ...]()
![The color bar represents the number of small cells that are combined into a...]()
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![Magnitude of B S z at the receiver locations for our large-loop...]()
![The model recovered through inversion using an <span class="search-highlight">octree</span>-based <span class="search-highlight">mesh</span>. The color...]()
![Model of a vertical borehole in a half-space: (a) vertical section through ...]()
![Subsurface part of the synthetic Lalor electrical conductivity model and la...]()
![(a) Stage 1 with six perforation fractures volume averaged with the layered...]()
![Model of a vertical borehole in a homogeneous half-space plotted with fine ...]()
![Subsurface part of the synthetic Lalor electrical conductivity model and la...]()
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1-20 OF 127 RESULTS FOR
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Journal Article
High-order finite-element forward-modeling algorithm for the 3D borehole-to-surface electromagnetic method using octree meshes
Journal: Geophysics
Publisher: Society of Exploration Geophysicists
Published: 15 May 2024
Geophysics (2024) 89 (4): F61–F75.
..., the borehole needs to be modeled. However, the size of the borehole is very small compared with the entire computational domain, making it challenging to discretize the borehole accurately. We develop a high-accuracy 3D finite-element forward-modeling algorithm for the BSEM method using octree meshes...
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Includes: Supplemental Content
Journal Article
Efficient 3D inversion of magnetic data via octree-mesh discretization, space-filling curves, and wavelets
Journal: Geophysics
Publisher: Society of Exploration Geophysicists
Published: 03 September 2013
Geophysics (2013) 78 (5): J61–J73.
... of these data intractable. Faced with this challenge, we have developed a three-step procedure to locally optimize the degree of model discretization and to compress the corresponding sensitivity matrix for the inversion of magnetic data. The mesh optimization is achieved through the use of adaptive octree...
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Image
Relation between forward/Jacobian mesh (green) and inversion model mesh (or...
in Fast 2.5D and 3D inversion of transient electromagnetic surveys using the octree-based finite-element method
> Geophysics
Published: 20 June 2022
Figure 3. Relation between forward/Jacobian mesh (green) and inversion model mesh (orange). (a) The 2.5D inversion: 3D octree mesh and 2D inversion section. (b) The 3D inversion: 3D octree mesh and 3D inversion mesh.
Image
The Dongguashan mine model: (a) the x z -section of the octree mesh...
in High-order finite-element forward-modeling algorithm for the 3D borehole-to-surface electromagnetic method using octree meshes
> Geophysics
Published: 15 May 2024
Figure 12. The Dongguashan mine model: (a) the x z -section of the octree meshes and the locations of the transmitters and (b) the 3D view.
Image
Illustration of the octree mesh refinement for a three-layered (1/4/100 Ωm)...
in 3D inversion of an integrated ground-based and waterborne transient electromagnetic survey
> Geophysics
Published: 17 July 2023
Figure 3. Illustration of the octree mesh refinement for a three-layered (1/4/100 Ωm) model with a thickness of 4 and 28 m, respectively. (a) A normal half-space meshing. (b) A refined mesh for a highly conductive and thin top layer. (c) A magnified view of the mesh in (b) at the end of the fine
Image
Discretization of a power-line loop using an octree mesh. Vertical sections...
Published: 11 February 2021
Figure 7. Discretization of a power-line loop using an octree mesh. Vertical sections in the (a) y-z plane and (b) x-z plane. Components of the power-line loop include the copper wire (red), the ground electrode (light blue), and the near-surface region (green) where the ground pathway
Image
Visualization of OcTree mesh discretization of the conductivity model.
in Coupled simulation of electromagnetic induction and induced polarization effects using stretched exponential relaxation
> Geophysics
Published: 27 February 2018
Figure 5. Visualization of OcTree mesh discretization of the conductivity model.
Image
Octree mesh illustration, where the filled circles denote hanging nodes on ...
in Fast 2.5D and 3D inversion of transient electromagnetic surveys using the octree-based finite-element method
> Geophysics
Published: 20 June 2022
Figure 1. Octree mesh illustration, where the filled circles denote hanging nodes on edges and the open circles denote hanging nodes on faces.
Image
The sparsity patterns of the model weighting matrix ( W m T ...
in Efficient 3D inversion of magnetic data via octree-mesh discretization, space-filling curves, and wavelets
> Geophysics
Published: 03 September 2013
Figure 7. The sparsity patterns of the model weighting matrix ( W m T W m ) for a normal mesh and ordering (a), an octree mesh and normal ordering (b), and an octree mesh and Hilbert curve-based ordering (c). White pixels are zeros and black pixels are nonzero to show
Image
The color bar represents the number of small cells that are combined into a...
in Efficient 3D inversion of magnetic data via octree-mesh discretization, space-filling curves, and wavelets
> Geophysics
Published: 03 September 2013
Figure 12. The color bar represents the number of small cells that are combined into a single cell and the axes are in meters. The two extrema of the octree meshes with (a) the least number of cells and (b) the largest number of cells. (c) The final choice of octree mesh has cell dimensions
Journal Article
Sparse magnetic vector inversion in spherical coordinates
Journal: Geophysics
Publisher: Society of Exploration Geophysicists
Published: 19 March 2020
Geophysics (2020) 85 (3): J33–J49.
... implementation of our algorithm on large-scale problems is facilitated by discretizing the forward problem using tiled octree meshes. All of our results are generated using the open-source SimPEG software. We determine the enhanced capabilities of our algorithm on a large airborne magnetic survey collected over...
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Image
Magnitude of B S z at the receiver locations for our large-loop...
Published: 19 July 2018
Figure 13. Magnitude of B S z at the receiver locations for our large-loop EM survey at 20 Hz. (a) Reference solution computed using the FE method on the fine OcTree mesh with 346,295 cells. (b and c) Results using the MMSFE with oversampling (with four padding cells) and without
Image
The model recovered through inversion using an octree-based mesh. The color...
in Efficient 3D inversion of magnetic data via octree-mesh discretization, space-filling curves, and wavelets
> Geophysics
Published: 03 September 2013
Figure 9. The model recovered through inversion using an octree-based mesh. The color bar shows the magnetic susceptibility in SI and the axes are in meters. Two main elongated features are associated with the large anomaly. Three smaller sources are also present. The southern small anomaly
Image
Model of a vertical borehole in a half-space: (a) vertical section through ...
in High-order finite-element forward-modeling algorithm for the 3D borehole-to-surface electromagnetic method using octree meshes
> Geophysics
Published: 15 May 2024
Figure 10. Model of a vertical borehole in a half-space: (a) vertical section through the center of the borehole and (b) borehole in plain view showing the fine octree meshes.
Image
Subsurface part of the synthetic Lalor electrical conductivity model and la...
Published: 19 July 2018
Figure 12. Subsurface part of the synthetic Lalor electrical conductivity model and large-loop EM survey setup. The model is discretized on an overlaying coarse OcTree mesh with 60,656 cells.
Image
(a) Stage 1 with six perforation fractures volume averaged with the layered...
in Monitoring hydraulic fracture volume using borehole to surface electromagnetic and conductive proppant
> Geophysics
Published: 21 January 2021
Figure 4. (a) Stage 1 with six perforation fractures volume averaged with the layered background on the OcTree mesh. (b) Mean conductivity in the x -direction. (c) Mean conductivity in the y - and z -directions.
Image
Model of a vertical borehole in a homogeneous half-space plotted with fine ...
Published: 19 July 2018
Figure 5. Model of a vertical borehole in a homogeneous half-space plotted with fine OcTree mesh. The TX and RX-1,…, RX-31 assign the transmitter and 31 receivers, respectively. (a) Conductivity model and (b) magnetic permeability model.
Image
Subsurface part of the synthetic Lalor electrical conductivity model and la...
Published: 19 July 2018
Figure 11. Subsurface part of the synthetic Lalor electrical conductivity model and large-loop EM survey setup. The model is discretized on a fine OcTree mesh with 546,295 cells. The whole conductivity model varies over eight orders of magnitude.
Journal Article
Fast 2.5D and 3D inversion of transient electromagnetic surveys using the octree-based finite-element method
Journal: Geophysics
Publisher: Society of Exploration Geophysicists
Published: 20 June 2022
Geophysics (2022) 87 (4): E267–E277.
...Figure 3. Relation between forward/Jacobian mesh (green) and inversion model mesh (orange). (a) The 2.5D inversion: 3D octree mesh and 2D inversion section. (b) The 3D inversion: 3D octree mesh and 3D inversion mesh. ...
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Journal Article
The mimetic multiscale method for Maxwell’s equations
Journal: Geophysics
Publisher: Society of Exploration Geophysicists
Published: 19 July 2018
Geophysics (2018) 83 (5): E259–E276.
...Figure 13. Magnitude of B S z at the receiver locations for our large-loop EM survey at 20 Hz. (a) Reference solution computed using the FE method on the fine OcTree mesh with 346,295 cells. (b and c) Results using the MMSFE with oversampling (with four padding cells) and without...
FIGURES
| View All (13)
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