# Equivalent Hydraulic Conductivity Tensor Upscaling on 3D DFM (60x60x60) (test)

Source: [Equivalent Hydraulic Conductivity Tensor Upscaling on 3D DFM (60x60x60) (test)](<https://www.sota2.com/research/sota/equivalent-hydraulic-conductivity-tensor-upscaling-on-3d-dfm-60x60x60-test>)

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

Data updated: 2026-04-06T06:34:54.151Z

Evaluation of models performing equivalent hydraulic conductivity tensor upscaling on the test split of the 3D Discrete Fracture-Matrix (DFM) domain, 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 | Equivalent hydraulic conductivity tensor upscaling |
| Dataset (including any stated split) | 3D Discrete Fracture-Matrix (DFM) domain size ΩUP=(60, 60, 60) (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/equivalent-hydraulic-conductivity-tensor-upscaling-on-3d-dfm-60x60x60-test.md?metric=NRMSE%20(kxx)>): Lower is better; unit: SCALAR.

- [NRMSE (kyy)](<https://www.sota2.com/research/sota/equivalent-hydraulic-conductivity-tensor-upscaling-on-3d-dfm-60x60x60-test.md?metric=NRMSE%20(kyy)>): Lower is better; unit: SCALAR.

- [NRMSE (kzz)](<https://www.sota2.com/research/sota/equivalent-hydraulic-conductivity-tensor-upscaling-on-3d-dfm-60x60x60-test.md?metric=NRMSE%20(kzz)>): Lower is better; unit: SCALAR.

- [NRMSE (kyz)](<https://www.sota2.com/research/sota/equivalent-hydraulic-conductivity-tensor-upscaling-on-3d-dfm-60x60x60-test.md?metric=NRMSE%20(kyz)>): Lower is better; unit: SCALAR.

- [NRMSE (kxz)](<https://www.sota2.com/research/sota/equivalent-hydraulic-conductivity-tensor-upscaling-on-3d-dfm-60x60x60-test.md?metric=NRMSE%20(kxz)>): Lower is better; unit: SCALAR.

- [NRMSE (kxy)](<https://www.sota2.com/research/sota/equivalent-hydraulic-conductivity-tensor-upscaling-on-3d-dfm-60x60x60-test.md?metric=NRMSE%20(kxy)>): Lower is better; unit: SCALAR.

## Recorded results

| Method | NRMSE (kxx) | Result date | Report paper |
| --- | --- | --- | --- |
| Surrogate C | 0.00022 | Not recorded | 69d33e0b7d0172140ec736ac |
| Surrogate B | 0.00038 | Not recorded | 69d33e0b7d0172140ec736ac |
| Surrogate A | 0.00133 | Not recorded | 69d33e0b7d0172140ec736ac |

### Surrogate C

NRMSE (kxx): 0.00022. Result ID: 69d3538447f34ce924ba9408.

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

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

Recorded evaluation configuration: {"Kf/Km":"1 × 10⁷"}. This record does not assert independent reproduction.

### Surrogate B

NRMSE (kxx): 0.00038. Result ID: 69d3538447f34ce924ba9407.

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

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

Recorded evaluation configuration: {"Kf/Km":"1 × 10⁵"}. This record does not assert independent reproduction.

### Surrogate A

NRMSE (kxx): 0.00133. Result ID: 69d3538447f34ce924ba9406.

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

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

Recorded evaluation configuration: {"Kf/Km":"1 × 10³"}. This record does not assert independent reproduction.

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