# 3D Discrete Fracture-Matrix Tensor Upscaling on DFM (15x15x15, test)

Source: [3D Discrete Fracture-Matrix Tensor Upscaling on DFM (15x15x15, test)](<https://www.sota2.com/research/sota/3d-discrete-fracture-matrix-tensor-upscaling-on-dfm-15x15x15-test>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-04-06T06:34:54.234Z

Evaluation of 3D Discrete Fracture-Matrix Tensor Upscaling performance on the test split of the DFM dataset configured with a 15x15x15 domain size, measured using component-wise Normalized Root Mean Square Error (NRMSE).

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | 3D Discrete Fracture-Matrix Tensor Upscaling |
| Dataset (including any stated split) | 3D Discrete Fracture-Matrix (DFM) models domain size 15x15x15 250 samples (test) |
| Metric | NRMSE (kxx) |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 3 of 3 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [NRMSE (kxx)](<https://www.sota2.com/research/sota/3d-discrete-fracture-matrix-tensor-upscaling-on-dfm-15x15x15-test.md?metric=NRMSE%20(kxx)>): Lower is better; unit: SCALAR.

- [NRMSE (kyy)](<https://www.sota2.com/research/sota/3d-discrete-fracture-matrix-tensor-upscaling-on-dfm-15x15x15-test.md?metric=NRMSE%20(kyy)>): Lower is better; unit: SCALAR.

- [NRMSE (kzz)](<https://www.sota2.com/research/sota/3d-discrete-fracture-matrix-tensor-upscaling-on-dfm-15x15x15-test.md?metric=NRMSE%20(kzz)>): Lower is better; unit: SCALAR.

- [NRMSE (kyz)](<https://www.sota2.com/research/sota/3d-discrete-fracture-matrix-tensor-upscaling-on-dfm-15x15x15-test.md?metric=NRMSE%20(kyz)>): Lower is better; unit: SCALAR.

- [NRMSE (kxz)](<https://www.sota2.com/research/sota/3d-discrete-fracture-matrix-tensor-upscaling-on-dfm-15x15x15-test.md?metric=NRMSE%20(kxz)>): Lower is better; unit: SCALAR.

- [NRMSE (kxy)](<https://www.sota2.com/research/sota/3d-discrete-fracture-matrix-tensor-upscaling-on-dfm-15x15x15-test.md?metric=NRMSE%20(kxy)>): Lower is better; unit: SCALAR.

## Recorded results

| Method | NRMSE (kxx) | Result date | Report paper |
| --- | --- | --- | --- |
| Surrogate A | 0.01222 | Not recorded | 69d33e0b7d0172140ec736ac |
| Surrogate B | 0.01483 | Not recorded | 69d33e0b7d0172140ec736ac |
| Surrogate C | 0.01543 | Not recorded | 69d33e0b7d0172140ec736ac |

### Surrogate A

NRMSE (kxx): 0.01222. Result ID: 69d3538447f34ce924ba940c.

[Reporting paper](<https://www.sota2.com/research/paper/69d33e0b7d0172140ec736ac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69d33e0b7d0172140ec736ac.md>)

Recorded evaluation configuration: {"fracture-to-matrix conductivity ratio (Kf/Km)":"1 x 10^3","H":"10","h":"5"}. This record does not assert independent reproduction.

### Surrogate B

NRMSE (kxx): 0.01483. Result ID: 69d3538447f34ce924ba940d.

[Reporting paper](<https://www.sota2.com/research/paper/69d33e0b7d0172140ec736ac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69d33e0b7d0172140ec736ac.md>)

Recorded evaluation configuration: {"fracture-to-matrix conductivity ratio (Kf/Km)":"1 x 10^5","H":"10","h":"5"}. This record does not assert independent reproduction.

### Surrogate C

NRMSE (kxx): 0.01543. Result ID: 69d3538447f34ce924ba940e.

[Reporting paper](<https://www.sota2.com/research/paper/69d33e0b7d0172140ec736ac.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69d33e0b7d0172140ec736ac.md>)

Recorded evaluation configuration: {"fracture-to-matrix conductivity ratio (Kf/Km)":"1 x 10^7","H":"10","h":"5"}. This record does not assert independent reproduction.

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