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2DRing<br />

analysis and incorporates a weighting factor which is a<br />

function of the time a deck detonates and a rock mass<br />

specific factor called "cooperation time".<br />

As part of the 4D energy distribution analysis, a timing<br />

simulation must be carried out first. The 4D energy<br />

distribution tessellates points on a plane specified by the<br />

user just like the 3D energy distribution. For each<br />

calculation point, the nearest charged deck is found. The<br />

time at which this deck detonates is used as a reference<br />

time (t nd ). A weighting function is determined based on<br />

the cooperation time and detonation time of charges. For<br />

every explosive deck in the timing simulation the 3D<br />

explosive energy value is calculated and multiplied by the<br />

term given by the following weighting function:<br />

e<br />

<br />

t dt t nd<br />

where t d is the time the deck detonated, t nd is the time the<br />

nearest deck to the calculation point detonated and t c is the<br />

co-operation time. The graph of this weighting function is<br />

shown in Figure 3.3.<br />

The cooperation time affects how steeply the weighting<br />

goes to zero and is the time interval within which decks<br />

adjacent to a detonating deck will assist in the<br />

fragmentation of the rock mass. After this time interval, the<br />

interaction of decks reduces significantly due to the<br />

movement of the rock mass. The time is approximately the<br />

time to first burden movement and is very much a rock<br />

mass dependent property.<br />

c<br />

132 JKSimBlast

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