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ThermoKarst

funded by the Swiss Research foundation, SNF, 2020–2024

Sub­ter­ra­nean cavi­ties consti­tute a fra­gile eco­sys­tem in which bio­geo­che­mi­cal pro­cesses are stron­gly dependent on tem­pe­ra­ture, humi­di­ty, and ven­ti­la­tion. They also pre­serve unique traces of their past envi­ron­ments.

Since the begin­ning of the 21st cen­tu­ry, paleoen­vi­ron­men­tal stu­dies of spe­leo­thems — secon­da­ry car­bo­nate for­ma­tions such as sta­lag­mites and flows­tones — have made it pos­sible to recons­truct the Earth’s cli­mate with remar­kable accu­ra­cy over rough­ly the last 0.5 mil­lion years.

Howe­ver, the ques­tion of how the under­ground cli­mate responds to varia­tions in the exter­nal cli­mate remains only par­tial­ly resol­ved. Results of Ther­mo­karst pro­ject show that the trans­fer of exter­nal tem­pe­ra­ture varia­tions by ther­mal dif­fu­sion through rock is not the sole mecha­nism res­pon­sible for the tem­pe­ra­ture changes obser­ved under­ground.

A clear unders­tan­ding of the ther­mal res­ponse of karst sys­tems to cli­mate change is the­re­fore essen­tial to quan­ti­fy dis­so­lu­tion and pre­ci­pi­ta­tion rates, inter­pret geo­che­mi­cal varia­tions obser­ved in spe­leo­thems, and assess the impacts on living orga­nisms in caves.

Based on the exis­ting lite­ra­ture, we have for­mu­la­ted three hypo­theses that we aim to test in this pro­ject :

  1. Ven­ti­la­tion within karst mas­sifs repre­sents a domi­nant mecha­nism for heat trans­fer ;

  2. The res­ponse time of karst mas­sifs and caves depends pri­ma­ri­ly on advec­tive fluxes (of air and water), rather than on heat conduc­tion through rock ;

  3. Ther­mal exchanges are suf­fi­cient to gene­rate a signi­fi­cant amount of conden­sa­tion water capable of rechar­ging karst sys­tems — at least under cer­tain condi­tions.

To achieve this objec­tive, the pro­ject relies on two teams with com­ple­men­ta­ry exper­tise : one spe­cia­li­zing in the moni­to­ring and concep­tua­li­za­tion of karst sys­tems (ISSKA), and the other in heat and mass trans­fer (FAST, Fluid Mecha­nics Labo­ra­to­ry, Uni­ver­si­ty of Paris-Sud).

Our research focu­sed on ven­ti­la­ted caves, his­to­ri­cal­ly the least unders­tood com­ponent of ther­mal trans­port in karst envi­ron­ments (since heat conduc­tion in rock and heat advec­tion by water had alrea­dy been addres­sed in pre­vious stu­dies). The research com­bi­ned empi­ri­cal and theo­re­ti­cal approaches, pro­du­cing two PhD theses1 2 and seve­ral peer-revie­wed articles.

Main advances of Thermokarst project (selected) :

  • A major metho­do­lo­gi­cal bot­tle­neck — the mea­su­re­ment of air­flow in caves — was over­come through the deve­lop­ment and vali­da­tion of a robust ins­tru­ment, spe­ci­fi­cal­ly desi­gned for under­ground condi­tions, enabling broa­der deploy­ment with rea­so­nable effort 3 4. This opens the way for sys­te­ma­tic ven­ti­la­tion stu­dies across mul­tiple sites.

  • We demons­tra­ted that ther­mal air–rock cou­pling leads to signi­fi­cant devia­tions from a “clas­si­cal” model that consi­ders only heat conduc­tion through rock.

  • We defi­ned and quan­ti­fied the convec­tion length — the dis­tance along a ven­ti­la­ted conduit requi­red to damp exter­nal tem­pe­ra­ture signals — and high­ligh­ted its depen­dence on the dura­tion of cli­ma­tic cycles (dai­ly, annual, or lon­ger) 6.

  • We esta­bli­shed a for­mu­la lin­king the maxi­mum annual convec­tion length to air­flow rate and conduit dia­me­ter.

  • We iden­ti­fied the deci­sive role of ven­ti­la­tion inten­si­ty on the convec­tion length, which is itself limi­ted by the nar­ro­west pas­sages within the under­ground conduits.

  • We des­cri­bed and mode­led zones within caves that exhi­bit tem­pe­ra­tures higher or lower than the “nor­mal” tem­pe­ra­ture — that is, the mean annual out­side air tem­pe­ra­ture at the same alti­tude.

  • We revi­sed and rede­fi­ned the terms hete­ro­ther­mic zones and homo­ther­mic zones, which are wide­ly used in sub­ter­ra­nean cli­ma­to­lo­gy.

  • We sho­wed that chim­ney effects can trig­ger exten­sive and signi­fi­cant ven­ti­la­tion in under­ground sys­tems when tem­pe­ra­ture contrasts exist.

  • Howe­ver, we obser­ved that ven­ti­la­tion inten­si­ties are often low due to nar­row pas­sages, and fre­quent­ly asym­me­tric — with dif­ferent aerau­lic resis­tance bet­ween win­ter and sum­mer — explai­ned by local geo­me­try (Tes­la-valve beha­vior), gra­vi­ta­tio­nal effects in L‑shaped sys­tems, and other fac­tors.

  • We iden­ti­fied and cha­rac­te­ri­zed air–rock heat exchanges along ven­ti­la­ted conduits.

  • We confir­med the essen­tial role of out­side tem­pe­ra­ture as a boun­da­ry condi­tion, but noted that the ave­rage ground tem­pe­ra­ture at ~0.5 m depth is often higher than the air tem­pe­ra­ture mea­su­red 2 m above ground.

  • We cla­ri­fied the role of ther­mal conduc­tion within rock, acting pri­ma­ri­ly at short (dai­ly) and long (deca­dal) times­cales.

  • We asses­sed heat exchanges within the epi­karst, invol­ving both air–rock and water–rock ther­mal trans­fers.

  • We demons­tra­ted that cer­tain wide­ly cited models of geo­ther­mal heat drai­nage at the base of karst sys­tems are incon­sistent with some theo­re­ti­cal aspects and with our data, indi­ca­ting the need for model impro­ve­ments.

Results and publications

Beyond the two theses1 2 , Ther­mo­karst has pro­du­ced seve­ral papers in inter­na­tio­nal jour­nals 3 4 5 6 7 8 with at least two addi­tio­nal manus­cripts cur­rent­ly in pre­pa­ra­tion. These results iden­ti­fy and quan­ti­fy the rele­vant pro­cesses (heat conduc­tion, water advec­tion, air convec­tion), demons­trate how to effec­ti­ve­ly ins­tru­ment caves, and lay the ground­work for inte­gra­ted mode­ling.

Thus, the results of this pro­ject represent a key step in unders­tan­ding heat trans­fer in car­bo­nate rocks. The main ele­ments requi­red to com­pre­hend heat trans­fer in karst mas­sifs are now in place. Through a new future pro­ject, we aim to inte­grate the most rele­vant pro­cesses into a uni­fied model at the scale of karst mas­sifs.

The project’s fin­dings alrea­dy pro­vide essen­tial data for unders­tan­ding the under­ground cli­mate, with results also valuable for other domains :

  • Sub­ter­ra­nean bio­lo­gy (under­ground bio­topes),

  • Cave gene­sis (conden­sa­tion cor­ro­sion),

  • Per­ma­frost stu­dies (natu­ral ice caves),

  • Cave conser­va­tion (pro­tec­tion of archaeo­lo­gi­cal and show caves),

  • Car­bon cycle research (car­bo­nate dis­so­lu­tion and pre­ci­pi­ta­tion are control­led by pCO2, and thus by ven­ti­la­tion),

  • Drin­king water sup­ply (tem­pe­ra­ture varia­tions in karst springs),

  • Low-tem­pe­ra­ture geo­ther­mal sys­tems (effects of conduits on heat exchange),

  • Tun­ne­ling and mining (pre­dic­tion of voids and mas­sive water inflows),

  • Public health (radon exha­la­tion in dwel­lings)…

PHD Students


Contact

Amir Seda­ghat­kish
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Contact

Clau­dio Pas­tore
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PIs

Pierre-Yves Jean­nin (SISKA), Fré­dé­ric Dou­menc (Sor­bonne), Marc Luet­scher (SISKA).

Publications

1   Seda­ghat­kish, A. The Role of Convec­tive Heat and Mass Trans­fer in the Ther­mal Res­ponse of Karst Conduits. PhD-The­sis, Uni­ver­si­ty of Neu­châ­tel, Centre of Hydro­geo­lo­gy and Geo­ther­mics (CHYN), Swit­zer­land, 2025.

2   Pas­tore, C. Ven­ti­la­tion Dyna­mics and Heat Exchange in Caves : An Inte­gra­ted Moni­to­ring and Mode­ling Approach. PhD-The­sis, Uni­ver­si­ty of Neu­châ­tel, Centre of Hydro­geo­lo­gy and Geo­ther­mics (CHYN), Swit­zer­land, 2025.

3   Pas­tore C., Seda­ghat­kish A., Schmid N., Weber E., Luet­scher M., 2024. Moni­to­ring air fluxes in caves using digi­tal flow meters. Inter­na­tio­nal Jour­nal of Spe­leo­lo­gy, 53, 63–73.doi.org/10.5038/1827–806X.53.1.2500

4   Pas­tore C., Weber E., Dou­menc F., Jean­nin PY., Luet­scher M., 2024. Dis­per­sion of arti­fi­cial tra­cers in ven­ti­la­ted caves. Inter­na­tio­nal Jour­nal of Spe­leo­lo­gy, 53(1), 51–62. doi.org/10.5038/1827–806X.53.1.2497

5   Seda­ghat­kish A., Dou­menc F., Jean­nin PY., Luet­scher M., 2024. Mode­ling the effect of free convec­tion on per­ma­frost mel­ting rates in fro­zen rock-clefts. The Cryos­phere, 18, 4547–4565, doi.org/10.5194/tc-18–4547-2024

6   Seda­ghat­kish A., Pas­tore C., Dou­menc F., Jean­nin PY., Luet­scher M., 2024. Model­ling heat trans­fer for asses­sing the convec­tion length in ven­ti­la­ted caves. Jour­nal of Geo­phy­si­cal Research : Earth Sur­face, 129, e2024JF007646. doi.org/10.1029/2024JF007646

7    Seda­ghat­kish, A., Pas­tore C., Dou­menc F., Jean­nin P.-Y., et Luet­scher M.. Ther­mal Mode­ling of Caves Ven­ti­la­ted by Chim­ney Effect. Inter­na­tio­nal Jour­nal of Ther­mal Sciences 212 (June 2025): 24. https://doi.org/10.1016/j.ijthermalsci.2025.109757.

8    Gara­gnon J., Luet­scher M., Weber E., 2022. Ven­ti­la­tion regime in a kars­tic sys­tem (Milandre Cave, Swit­zer­land). Kars­to­lo­gia Mémoires, 23, 18–19