TSF Cover Design Calculations Workbook (Including O₂ Diffusion & Water Balance)
The TSF Cover Design Calculations Workbook is an Excel-based engineering tool used to quantitatively evaluate and optimize cover systems for Tailings Storage Facilities (TSFs) by modeling oxygen diffusion and water balance dynamics. It integrates geochemical, hydrological, and geotechnical principles to predict the long-term performance of covers in limiting acid rock drainage (ARD) and metal leaching (ML). The workbook supports regulatory compliance, risk-informed design, and lifecycle management of mine waste facilities.
📖 Overview
📑 Key Components
🎯 Applications
- ✓ Designing oxygen-limiting covers to suppress sulfide oxidation in ARD-prone tailings
- ✓ Evaluating long-term cover performance under climate change scenarios (e.g., increased precipitation intensity or drought frequency)
- ✓ Supporting closure planning and regulatory submissions for mine permitting and post-closure monitoring
📐 Key Formulas
O₂ Diffusion Flux (Fick's First Law)
J_O₂ = −D_eff × (∂C_O₂/∂z)
Calculates steady-state molecular oxygen flux (g/m²·s) through unsaturated soil, where D_eff is the effective diffusion coefficient and ∂C_O₂/∂z is the oxygen concentration gradient.
Effective Diffusion Coefficient
D_eff = D₀ × θ_g × τ
Estimates oxygen diffusivity in soil gas phase; D₀ is free-air diffusion coefficient, θ_g is volumetric gas fraction, and τ is tortuosity factor (often approximated as τ = 1/(θ_g)^n with n ≈ 1.5–2.0).
Water Balance (Daily)
ΔS = P − ET − R − I
Computes change in soil moisture storage (ΔS, mm/day); P = precipitation, ET = evapotranspiration, R = runoff, I = infiltration (with I constrained by soil hydraulic conductivity and antecedent moisture).