Cumulative Dose over Time Calculator

Estimate cumulative radiation dose from changing exposure rates. Compare scenarios with unit conversions and safeguards. Export results, document inputs, and interpret totals confidently today.

Calculator

Calculation mode

Pick a model that matches your exposure profile.

Primary output

We also show the other dose type.

Radiation weighting factor (Q)

Equivalent ≈ Absorbed × Q. Use 1 if unsure.

Dose rate

Dose rate unit

Total time

Time unit

Interval rate unit

All interval rates use this unit.

Interval duration unit

All interval durations use this unit.

Intervals

Fill any rows you need. Empty rows are ignored.

#	Dose rate	Duration
1
2
3
4
5
6

Model: D = Σ(rate × duration) + background × totalDuration.

Initial dose rate (r₀)

Initial rate unit

Total time

Time unit

Decay input

We assume r(t) = r₀ e^(−k t).

k (1/hour)

Half-life

Half-life unit

Integral: D = (r₀/k)(1 − e^(−kT)) + background × T.

Background dose rate (optional)

Applied across total time.

Background unit

Result appears above this form after submission.

Formula Used

Constant rate: D = (r + r_bg) × T
Intervals: D = Σ(r_i × Δt_i) + r_bg × ΣΔt_i
Exponential decay: r(t) = r₀ e^(−kt), so D = (r₀/k)(1 − e^(−kT)) + r_bg × T
Equivalent vs absorbed: H ≈ D × Q where Q is a user‑selected weighting factor.

Units are normalized internally to hours and absorbed dose, then converted for display.

How to Use This Calculator

Select a calculation mode that matches your exposure pattern.
Choose the primary output (equivalent or absorbed).
Enter Q if converting between Gy and Sv.
Fill in the required rate and time values (or interval table).
Optionally add a background dose rate applied across total time.
Press Calculate, then export CSV or PDF if needed.

Example Data Table

Scenario	Inputs	Computed total	Notes
Constant rate	0.5 mSv/h for 8 h, Q=1	4.0 mSv	Typical short work shift estimate.
Intervals	(0.2 mSv/h × 3 h) + (1.0 mSv/h × 1 h)	1.6 mSv	Sum each interval contribution.
Decay	r₀=2.0 mSv/h, half‑life=3 h, T=6 h	~5.2 mSv	Uses exponential integration model.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.