The Unified Biogeodynamic Law: Poroelastic Transient Mechanics and Biogeodynamic Fluid Signatures in Cryogenic and Asteroidal Matrices

Abstract & Dataset Overview This repository contains the authoritative computational and empirical baseline verifying the Unified Biogeodynamic Law across icy ocean worlds (Europa, Enceladus, Titan) and hydrated carbonaceous asteroid parent bodies. The dataset pairs high-performance GPU finite-difference time-domain (FDTD) simulations of Biot-Willis poroelasticity with empirical spectroscopy and microscopy data from JAXA Hayabusa2 returned Ryugu samples (A0008 and A0022) and global CM2 carbonaceous chondrite catalogs. The computational architecture models transient fluid-solid coupling, elastodynamic wave propagation, and dynamic aperture evolution across $768^3$ computational nodes ($452.98 \times 10^6$ voxels) at $13.02\ \mu\text{m}$ spatial resolution under a $350.0\text{ MPa}$ Dirichlet pore-pressure boundary clamp. Key Empirical & Computational Metrics Spectral Cross-Validation: Achieves an empirical Pearson correlation coefficient of $R = 0.8774$ against JAXA Hayabusa2 Ryugu sample A0008 Fourier Transform Infrared (FTIR) $2.7\ \mu\text{m}$ $-\text{OH}$ hydration absorption features. Spatial Decorrelation: Demonstrates structural decorrelation ($\text{SSIM} = 0.0394$, $R = -0.0006$) between internal lithostatic fracture conduits and exogenic surface topographies. Volumetric Mass Grounding: Grounded against 415 approved CM2 carbonaceous chondrites (catalog mean mass $367.52\text{ g}$, $\rho_b = 2.10\text{ g/cm}^3$), matching a $0.9998\text{ cm}^3$ simulated grid mass equivalent of $2.10\text{ g}$. Repository File Manifest 01. Manuscripts & Documentation 01_Report_Unified_Biogeodynamic_Law.pdf: Primary publication-grade V&V manuscript detailing the mathematical framework, FDTD formulation, and empirical cross-validation. 01_Report_Computational_Verification_Validation.pdf: Comprehensive Verification & Validation (V&V) technical report covering CFL stability criteria, Biot moduli, and acoustic velocity distributions. 01_Report_Theoretical_Frameworks.zip: Supplemental preprints and theoretical background reports on Ocean Worlds and Titan Methane Handshake targets. 01_README_Dataset_Manifest.txt: System manifest and metadata mapping file. 02. Code & Computational Pipelines 02_Code_Master_Poroelastic_FDTD_Simulation.py: Massively parallelized CuPy/CUDA $768^3$ 3D FDTD poroelastic solver script. 02_Code_Spectral_Validation_Pipeline.py: Automated spectral extraction, FTIR alignment, SSIM surface spatial evaluation, and cross-validation pipeline. 03. Simulation Outputs & Telemetry 03_Output_Automated_Validation_Report.txt: Executable pipeline summary log logging physical properties, numerical bounds, and correlation metrics. 03_Output_Phase_Lag_Telemetry.csv: 50-step transient time-series log tracking peak pore pressure ($P_f$), fracture aperture expansion ($b$), and temporal phase lag stiffness. 03_Output_Seismic_Velocity_Tensor.zip: Binary NumPy tensor metadata array containing compressional ($V_p$) and shear ($V_s$) elastodynamic wavefield distributions. 03_Output_Poroelastic_Aperture_Slices.png: High-resolution 2D mid-plane orthogonal slices ($Z = 384$) of pore pressure clamping ($350.0\text{ MPa}$) and dynamic vein dilation. 03_Output_Spectral_Cross_Validation_Overlay.png: Dual-axis spectral validation plot comparing simulated stoichiometric hydration yield $Y_h(t)$ against empirical Ryugu FTIR spectra. 04. Empirical Reference Data 04_Data_Global_Meteorite_Landings_Catalog.csv: Filtered global catalog of approved CM2 carbonaceous chondrites extracted from NASA/The Meteoritical Society records. 04_Data_Ryugu_A0008_FTIR_AverageSpectra.csv: Unpolarized FTIR average absorption spectrum for JAXA Hayabusa2 Ryugu sample A0008 ($2.7\ \mu\text{m}$ $-\text{OH}$ band). 04_Data_Ryugu_A0022_FTIR_AverageSpectra.csv: Unpolarized FTIR average absorption spectrum for JAXA Hayabusa2 Ryugu sample A0022. 04_Data_Ryugu_A0008_Microscopy_and_Spectroscopy_Raw.zip: Complete archive of raw microscopic stack scans, 3D elevation maps, color ratio profiles, and cross-sectional profiles for Ryugu sample A0008. 04_Data_Ryugu_A0022_Microscopy_Raw.zip: Raw microscopic EDF stack scans and depth maps for Ryugu sample A0022. [Notebook Sources] / Interactive Cloud Execution (Google Colab) You can interactively execute and inspect the CuPy/CUDA FDTD simulation code across varying grid resolutions directly in your browser without local GPU configuration: $256^3$ Exploratory Grid Execution $512^3$ Intermediate Scaling Execution $768^3$ Production-Scale Solver Execution Instructions for Reproducibility Environment Setup: Ensure Python 3.10+ is installed alongside numpy, cupy (CUDA acceleration), pandas, scipy, matplotlib, and scikit-image. FDTD Simulation: Execute python 02_Code_Master_Poroelastic_FDTD_Simulation.py to re-run the 3D grid solver and regenerate numerical array outputs. Validation & Plotting: Execute python 02_Code_Spectral_Validation_Pipeline.py to ingest the empirical Ryugu spectra (04_Data_Ryugu_A0008_FTIR_AverageSpectra.csv), perform Pearson correlation scoring, and regenerate the spectral cross-validation overlays.