Interpretation of Local Flux Measurements in Subcritical Systems and Reactivity Determination

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="629039.fig.003a" src="https://static.hindawi.com/articles/stni/volume-2012/629039/figures/629039.fig.003a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b><i>cpk</i> and critical shape</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="629039.fig.003b" src="https://static.hindawi.com/articles/stni/volume-2012/629039/figures/629039.fig.003b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b><i>cpk</i> and source-driven shape</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="629039.fig.003c" src="https://static.hindawi.com/articles/stni/volume-2012/629039/figures/629039.fig.003c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b><i>gpk</i> and critical shape</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="629039.fig.003d" src="https://static.hindawi.com/articles/stni/volume-2012/629039/figures/629039.fig.003d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b><i>gpk</i> and source-driven shape</td></tr></table></td></tr></table>

<table>Power evolution following a source pulse in a subcritical system (<svg height="16.450001" id="M38" style="vertical-align:-3.39064pt" version="1.1" viewbox="0 0 69.324997 16.450001" width="69.324997" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D458"></use></g>
<g transform="matrix(.012,-0,0,-.012,8.612,16.25)"><use xlink:href="#x65"></use></g><g transform="matrix(.012,-0,0,-.012,13.669,16.25)"><use xlink:href="#xFB00"></use></g>
<g transform="matrix(.017,-0,0,-.017,26.212,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,40.899,12.162)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,49.059,12.162)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,52.935,12.162)"><use xlink:href="#x39"></use></g><g transform="matrix(.017,-0,0,-.017,61.094,12.162)"><path d="M249 635q70 0 116 -43t46 -105q0 -46 -28 -80q-22 -25 -80 -64q62 -35 97 -75t35 -99q0 -81 -63 -131t-135 -50q-83 0 -137.5 45.5t-54.5 123.5q0 52 45 95q29 28 89 64q-109 62 -109 155q0 66 50.5 115t128.5 49zM238 603q-42 0 -67.5 -31t-25.5 -72q0 -50 32.5 -79.5
t98.5 -62.5q61 48 61 124q0 59 -29.5 90t-69.5 31zM248 20q46 0 76.5 33.5t30.5 89.5q0 50 -39 85.5t-110 71.5q-81 -54 -81 -137q0 -67 35.5 -105t87.5 -38z" id="x38"></path></g>
</svg>), simulated with different approaches to point kinetics: <i>cpk</i> and <i>gpk</i>. Solid line: reference; dashed line: point kinetics. The inset graphs represent the shape <svg height="12.325" id="M39" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 10.0125 12.325" width="10.0125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.825)"><use xlink:href="#x1D711"></use></g>
</svg> and the weight <svg height="13.225" id="M40" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 11.2375 13.225" width="11.2375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,8.737)"><use xlink:href="#x1D713"></use></g>
</svg> adopted.</table>

Science and Technology of Nuclear Installations

fig3

Figure 3

Figure 3: Interpretation of Local Flux Measurements in Subcritical Systems and Reactivity Determination 