ETG Calculation Formula: Half-Life Decay Math Explained

How ETG calculators work: the half-life decay formula, peak ETG assumptions, cutoff comparison, and the limits of model-based estimates.

6 min read 2025-12-14

The Quick Answer

Page role: This page explains the half-life formula, peak ETG assumptions, and cutoff comparison used by the calculators. It is not the detection-times guide, interactive chart, or realistic-80-hour explainer.

Your body eliminates ETG at a predictable rate. The formula is simple: your ETG level drops by half every 2-3 hours. That's the core of every ETG calculator, including ours.

Remember
  • ETG follows exponential decay with a half-life of 2-3 hours
  • Peak ETG occurs about 2-3 hours after your last drink
  • Detection time depends on amount consumed and test sensitivity

The Half-Life Decay Formula

Here's the exact formula used in our ETG Calculator:

ETG(t) = Peak × 0.5^(t / half-life)

This exponential decay formula calculates your estimated ETG level at any point in time. As time passes, your ETG concentration drops by half every 2-3 hours.

Variables

ETG(t)

Current Level

Your estimated ETG concentration at time t (in ng/mL)

Peak

Peak ETG

Maximum ETG produced after drinking (typically 5,000-10,000 ng/mL per drink)

t

Time Elapsed

Hours since peak (about 2-3 hours after your last drink)

half-life

Half-Life

Time for ETG to reduce by 50% (typically 2-3 hours)

How the Calculation Works

Let's break down the formula into simple steps:

Step 1: Estimate Peak ETG

When you drink alcohol, your liver converts it into ETG (Ethyl Glucuronide). The amount produced depends on how much you drank:

DrinksEstimated Peak ETG
1-2 drinks5,000-15,000 ng/mL
3-4 drinks15,000-30,000 ng/mL
5-6 drinks30,000-50,000 ng/mL
7+ drinks50,000+ ng/mL

Peak ETG typically occurs 2-3 hours after your last drink—not when you stop feeling drunk.

Step 2: Apply the Decay Formula

Once ETG peaks, it starts declining. The half-life (time to drop by 50%) is approximately 2-3 hours for most people.

Example calculation:

  • You had 4 drinks (Peak: ~20,000 ng/mL)
  • After 3 hours: 20,000 × 0.5 = 10,000 ng/mL
  • After 6 hours: 10,000 × 0.5 = 5,000 ng/mL
  • After 9 hours: 5,000 × 0.5 = 2,500 ng/mL
  • After 12 hours: 2,500 × 0.5 = 1,250 ng/mL

Step 3: Compare to Test Cutoff

Your result depends on which cutoff threshold the test uses:

CutoffCommon UseAt 1,250 ng/mL
500 ng/mLEmployment, standard testsAbove cutoff
100 ng/mLProbation, court-orderedAbove cutoff

Continuing the same example shows how the model crosses common laboratory thresholds:

  • After 15 hours: ~625 ng/mL (above 500 ng/mL)
  • After 18 hours: ~312 ng/mL (below 500 ng/mL, above 100 ng/mL)
  • After 24 hours: ~78 ng/mL (below both example cutoffs)

What Affects Your Results

The formula uses averages. Your actual results may vary by 20-30% based on:

Metabolism Speed

Some people process ETG faster than others. Factors include:

  • Liver health — healthier liver = faster processing
  • Age — metabolism slows with age
  • Genetics — enzyme variations affect clearance rate

Body Composition

  • Body weight — larger bodies have more fluid volume, diluting ETG
  • Hydration — well-hydrated = more dilute urine samples
  • Sex — women typically show higher peak ETG than men for same amount

The Alcohol Itself

  • Drink strength — a strong craft beer counts as 1.5+ standard drinks
  • Food intake — eating slows alcohol absorption, affecting peak timing
  • Drinking speed — rapid consumption = higher peak ETG

Important Limitations

Our calculator provides estimates, not guarantees. Here's what it can't account for:

  1. Individual variation — your metabolism might be 30% faster or slower than average
  2. Test accuracy — lab equipment has its own margin of error
  3. Sample timing — urine concentration varies throughout the day
  4. Incidental exposure — hand sanitizers, mouthwash can add small amounts

Because the estimate is only a model, do not use it as a guarantee of a laboratory result. For medical, legal, court, probation, or employment questions, confirm the cutoff and interpretation rules with the testing program or a qualified professional.

The Science Behind It

This formula isn't something we invented. It's based on peer-reviewed research:

  • Wurst FM et al. (2006) — "Ethyl glucuronide: update" in Forensic Science International
  • Helander A, Beck O (2005) — "Ethyl sulfate: a metabolite of ethanol" in Clinical Chemistry
  • SAMHSA Guidelines — Standard cutoff recommendations for ETG/ETS testing

Our calculator implements these findings transparently. Unlike some competitors who hide their algorithms, we show you exactly how it works.

Common Questions

The formula is based on medical research and provides a useful estimate. However, individual variation means your actual results could be 20-30% different. Factors like liver health, body weight, urine concentration, and genetics all play a role. Do not treat any calculator output as a guaranteed lab result.


This page is for educational purposes only. It does not constitute medical or legal advice. Individual results vary significantly. Consult a healthcare provider or legal professional for guidance specific to your situation.