Modelling speleogenesis in soluble rocks: A case study from the Permian Zechstein sequences exposed along the southern Harz Mountains and the Kyffhäuser Hills, German

Soluble rocks such as limestone, dolomite, gypsum, anhydrite, and salt can be dissolved by water flowing through voids in the rocks. The removal of the dissolved material from fissures and bedding partings by physical and/or chemical dissolution enlarges the permeability of the soluble rocks within geologically short periods of time, ranging from 100,000 years down to decades. This geologically short evolution time of voids in soluble rocks poses a substantial risk of mechanical instability of the enlarged voids, and possible surface deformation, when enlarged voids start to collapse. We describe karst and cave features in the rock sequence exposed along the southern part of the Harz Mountains and the Kyffhauser Hills in Germany, where limestone/dolomite and anhydrite/gypsum are exposed along a kilometer-wide strip following the foothills of the Harz Mountains. The rocks have been deposited during the Permian Zechstein period, buried, and exposed later through tectonic uplift. The exposed part of this soluble sequence is dominated by karst features. But there are also substantial cave voids deeper in the rock, with no obvious entrance to the surface, which have been discovered by chance through mining activities. Often, the sub-surface void evolution is closely linked to surface deformation, creating collapse sinkholes and subsidence. In the city of Bad Frankenhausen at the foothills of the Kyffhauser Hills, the evolution of sub surface voids is responsible for the tilting of the church tower of the Oberkirche. We explore the evolution of such a karst system composed of limestone and anhydrite by numerical means, describing flow and transport in a rock mass composed of soluble and insoluble rock sequences, with limestone and anhydrite responsible for the evolution of secondary porosity. Key words: soluble rocks, karst, mine-cave evolution, collapse sinkholes, numerical modelling. Modeliranje speleogeneze v topnih kamninah: primer zechsteinskih kamnin v južnem delu gorovja Harz in v hribovju Kyffhauser Voda, ki tece skozi pore in razpoke v topnih kamninah, kot so apnenec, dolomit, sadra, anhidrit in sol, raztaplja stene prevodnih poti. Ucinkovito odnasanje raztopljene snovi lahko mocno poveca hidravlicno prevodnost vodonosnika v geolosko kratkem casu, ki je v izjemnih primerih dolg vsega nekaj desetletij. Hiter razvoj prevotljenosti lahko povzroci mehansko nestabilnost nastalih votlin in posledicno ugrezanje povrsja. Tak primer najdemo v kilometer sirokem pasu apnenca, dolomita, sadre in anhidrita, ki se razteza vzdolž južnega dela pogorja Harz in hribovja Kyffhauser. Sedimenti, ki so se odložili v permskem Zechsteinskem morju, so bili kasneje globoko pokopani in ponovno tektonsko izdani na povrsje. Izdanki teh kamnin so izrazito krasko preoblikovani, prevotljenost pa je velika tudi v globlje pokopanih kamninah, ki nimajo ocitne povezave s povrsjem in so bile odkrite pri rudarskih delih. Velikokrat se razvoj votlin pod povrsjem izrazi tudi na povrsju, kjer nastajajo udornice in grezi. V mestu Bad Frankenhausen ob vznožju hribovja Kyffhauser se je zaradi razvoja votlin pod povrsjem nagnil cerkveni zvonik. V clanku raziskujemo razvoj kraskih sistemov v apnencu in anhidritu z numericnimi modeli. V modelu upostevamo tok, raztapljanje in prenos snovi v kamninskem masivu, sestavljenem iz topnih in netopnih kamnin, kjer raztapljanje poteka v apnencu in anhidritu. Kljucne besede: topne kamnine, kras, razvoj jam v rudnikih, udorne doline, numericno modeliranje.