Dataset and Bayesian Calibration Scripts for the Athy-Fernando Viscoelastic Compaction Law (Campos Basin)

### Athy-Fernando Viscoelastic Compaction Law This repository contains the source code and calibration datasets for the **Athy-Fernando Law**, a novel viscoelastic constitutive relationship for sedimentary compaction. **Key Highlights:*** **Improved Accuracy:** Achieving a **21.4% reduction in porosity prediction error** for depths below 3000 m compared to classical exponential models.* **Geological Consistency:** Incorporates depth- and temperature-dependent relaxation times (10³-10⁵ years).* **Validation:** Calibrated using data from **42 wells in the Campos Basin (Brazil)**. **Contents:**1. Calibration scripts for Bayesian inversion.2. Comparative analysis vs. Athy (1930) and Fowler & Yang (1999).3. Porosity-depth dataset (anonymized). ### Athy-Fernando Viscoelastic Compaction Law This repository contains the numerical implementation of the **Athy-Fernando Law**, a viscoelastic model designed to predict porosity in rapidly subsiding sedimentary basins. **Key Results:*** **21.4% Error Reduction:** Proven superior accuracy in deep reservoirs (z > 3000m) compared to the classical Athy (1930) model.* **Geological Relaxation:** Incorporates time-dependent compaction $(\tau = 10^3 - 10^5 \text{ years})$.* **Data-Driven:** Calibrated using 42 wells from the Campos Basin, Brazil. **Citation:**Silva, L. F. (2026). The Athy-Fernando Viscoelastic Compaction Law and Its Implications for Porosity and Pore Pressure Prediction.