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RD&D-Programme 2004 - SKB

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out when the buffer swells, but our understanding of the course of events and thereby the heat<br />

conduction properties in the gap is fraught with uncertainties.<br />

In KBS-3H and KBS-3V, there may also be an air-filled gap between buffer and rock. This gap<br />

is of importance for heat transport in an early stage of the repository’s evolution.<br />

Conclusions in RD&D 2001 and its review<br />

In the calculations of the heat transport in the rock, <strong>SKB</strong> uses a model with simplified assumptions<br />

regarding the geometry of the near-field. In the authorities’ view, <strong>SKB</strong> should shed light on<br />

the impact of this simplification when presenting the results. The authorities also think that the<br />

couplings between the thermal, mechanical, chemical and hydrological processes, particularly in<br />

the buffer, need to be studied further.<br />

Newfound knowledge since RD&D 2001<br />

A report has been published describing how the canister’s heat output at deposition, the rock’s<br />

transport properties, the spacing between canisters and between deposition tunnels, the heat<br />

transport conditions in the deposition holes and the rock’s undisturbed geothermal temperature<br />

together determine the maximum temperature on the canister surface /17-5/. The results are<br />

based on combinations of numerical and analytical methods, which means that a large number<br />

of combinations of parameter values have been analyzed for KBS-3V and KBS-3H. In the<br />

analytical method there are correction factors that have been determined by calibration calculations,<br />

making it possible to take into account canister geometry and the heat flow distribution<br />

around the canisters.<br />

Altogether, the maximum canister temperature has been calculated for around 1,000 different<br />

cases. The results are presented in nomogram form so that the canister spacing required to meet<br />

the temperature requirements (a maximum temperature of 100°C on the canister surface) can be<br />

read off directly from given assumptions regarding decay heat, heat conduction conditions and<br />

safety margins. For some of the cases, independent, numerically calculated results are available<br />

for comparison, for example the temperature calculations performed prior to SR 97 for Aberg<br />

/17-6/. Independent analytical solutions are also available /17-7/ for use in comparison and<br />

verification. All comparisons show good agreement.<br />

The largest uncertainty concerns what temperature margins should be posited. In SR 97 and<br />

earlier, it has been assumed that effects of unfilled gaps, in particular between canister and<br />

buffer, can give rise to temperature offsets of 10°C. Furthermore, uncertainties in data are<br />

judged to warrant an additional margin of 10°C, so that the calculated maximum temperature<br />

should be 80°C or less. The size of the estimated temperature offset across the canister-bentonite<br />

gap is based on assumptions regarding the emissivity of the copper surface, i.e. its capacity to<br />

emit radiative heat.<br />

The measurements currently being performed in the Prototype Repository indicate a temperature<br />

offset of at most around 19°C between canister and buffer. This figure applies to the most<br />

recently installed deposition hole categorized as dry during boring and before installation.<br />

Converted to a standard decay heat output of 1,700 W, and allowing for the fact that this heat<br />

output has declined by around ten percent when the temperature peak occurs, this means that the<br />

margin for open gaps may need to be 17°C. The buffer-rock gap has been filled with bentonite<br />

in the Prototype Repository. In the most recently installed hole, the heat transport across the<br />

pellet-filled gap around six months after installation is roughly equal to that through the buffer<br />

blocks.<br />

<strong>Programme</strong><br />

The results that have been obtained from the site investigations in terms of variations in the<br />

thermal properties of the rock need to be evaluated so that inhomogeneities on different scales<br />

202 RD&D-<strong>Programme</strong> <strong>2004</strong>

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