Engineered By Ejiro Inije
ABI Digital Twin v41.1 - 3-Tier Markov Predictive Engine

ABI Digital Twin v41.1

3-Tier Terminology Engine

Mathematical Rigor • Engineering Physics • Plain English Explanations

Pillar 1: PVT & Gas Flash Split Rachford-Rice VLE

• Normal Term: Gas Boil-Off Fraction
• Engineering Term: Vapor-Liquid Equilibrium (VLE)
• Math: Σ [zi · (Ki - 1) / (1 + (V/F)(Ki - 1))] = 0

Pillar 2: Droplet Separation Stokes Law Engine

• Normal Term: Oil/Water Separation Speed
• Engineering Term: Stokes Settling Kinetics
• Math: vs = [g · dp² · (ρw - ρo)] / (18 · μo)
Mean Droplet Size (dp) 140 µm
Chemical Demulsifier Chemical 12 ppm
MARKOV STATE ENGINE Lookahead: T+45 Steps

"Markov model predicts 17.6% chance of entering Sub-Optimal/Critical state within 45 steps based on current state vector and velocity."

Expected Efficiency 88.4%
Current Baseline 94.6%
P1. Gas Boil-Off Ratio 0.245 VLE (Rachford-Rice)
P2. Separation Speed 1.42 mm/s Stokes Settling v_s
P3. Pressure Change +0.02 kPa/s dP/dt Pressure Rate
P4. Smart Gauge Drift 0.012 m EKF Innovation Residual
P5. Oil Valve Position 48.2% Water Valve: 31.5%
P6. Asset Health Index 94.8% Erosion Rate

3-Phase Separator Tank - Physical Fluid Layers

Gas Oil Phase Emulsion Rag Water Phase Sand Bed
Gas / Vapor Zone (VLE Flash)
DEMISTER
OIL PHASE (h_oil)
EKF Smart Estimate x̂_oil
EMULSION RAG LAYER (Stokes Droplet Separation Zone)
WATER PHASE (h_water)
SAND BED ACCUMULATION

Levels & Smart EKF Filter

EKF Tracking

Pressure & Clogging

VLE Engine

Markov Future State

0 to 45 Mins

Dynamic Transition Matrix P_ij(t) Inspector

Calculated from (X_t, X_t-1, Physics Formulas)
State Transition Matrix P_ij: P(X_t+1 = S_j | X_t = S_i, ΔX_t, Physics)
[MARKOV] Physics-Informed Transition Engine Initialized.