Physica

04 Protection

Workload, use and occupancy WUT

W = dose at 1 m × patients × fractions. Design quantity is W U T.

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Simulation

Workload, use and occupancy WUT — Change the numbers; the scene follows.

Where it works

Treatment vault

Treatment vault

Primary barrier

In the bunker maze and barriers — time, distance, TVL, WUT, and weekly controlled-area dose.

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Formula

W=D˙1N˙,PdesignWUTW=\dot D_1\,\dot N,\quad P_{\mathrm{design}}\propto WUT

Typical values

Variables

Results

  • W

    Weekly workload

    48Gy/week

  • WUT

    Design product

    2.4Gy/week

Explanation

W=D˙1N˙,PdesignWUTW=\dot D_1\,\dot N,\quad P_{\mathrm{design}}\propto WUT

What it means

Workload W is the weekly source output at 1 m (Gy/week or mA·min/week). Use factor U is the fraction of time the beam points at this barrier (1 for floors, 0.25 for walls, 1/16 for a rarely used wall). Occupancy T is the fraction of the week a person spends in the area (1 control room, 1/5 corridors, 1/20 outdoor). Shielding thickness is sized so WUT × B / d² ≤ P (weekly design limit). This is a working relation in Radiation protection.

Where it is used

Clinically it sits on the Treatment vault — Primary barrier. In the bunker maze and barriers — time, distance, TVL, WUT, and weekly controlled-area dose. Protection equations are the wall, the occupancy factor, and the badge: time, distance, shielding, and WUT. They turn a room into a legal design.

Treatment vault · Open this machine

How to use it

Enter dose per patient at 1 m, patients per week, U and T. Read W and WUT. A linac at 3 Gy/patient at isocentre, 40 patients, 5 fractions equivalent, U=0.25, T=1/5 is the classic NCRP 151 worked example flavour. Change one input and watch the curve and the simulation follow.

Symbols

  • D_1mDose per patient at 1 m1.2 Gy
  • NPatients per week40
  • UUse factor0.25
  • TOccupancy0.2

Worked example

A typical case from the default values: D_1m = 1.2 Gy (Dose per patient at 1 m); N = 40 (Patients per week); U = 0.25 (Use factor); T = 0.2 (Occupancy). Substituting into the relation gives W = 48 Gy/week; WUT = 2.4 Gy/week. These are teaching numbers — align them with your machine.

Typical values give

  • W = 48Gy/week
  • WUT = 2.4Gy/week

Where it comes from

The displayed formula is the working relation. W = dose at 1 m × patients × fractions. Design quantity is W U T. Usual reference: NCRP 151 / 147. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: NCRP 151 / 147

Assumptions & limits

Does not convert SAD to 1 m (do that first with inverse square). IMRT factor (MU/Gy > 1) must be folded into W. NCRP 151 now prefers a realistic workload survey over the old 1000 Gy/week default.

Pitfalls

Tenth-value layers are for the broad beam in that material and that energy — not a photocopy from another bunker. Occupancy T is not a guess; it is a use pattern. Inverse-square fails against a large scatter source. Does not convert SAD to 1 m (do that first with inverse square). IMRT factor (MU/Gy > 1) must be folded into W. NCRP 151 now prefers a realistic workload survey over the old 1000 Gy/week default.

Keep this

Time, distance, shielding — in that order — then calculate the wall. Does not convert SAD to 1 m (do that first with inverse square). IMRT factor (MU/Gy > 1) must be folded into W. NCRP 151 now prefers a realistic workload survey over the old 1000 Gy/week default.

In this specialty

Radiation protection