Permian Basin is in geology the name of two large intercontinental basins that were formed in the Permian period, neither of which are in Perm Krai:

The Permian Basin is a large sedimentary basin in the southwestern part of the United States. It is the highest producing oil field in the United States, producing an average of 4.2 million barrels of crude oil per day in 2019. This sedimentary basin is located in western Texas and southeastern New Mexico.

A salt dome is a type of structural dome formed when salt intrudes into overlying rocks in a process known as diapirism. Salt domes can have unique surface and subsurface structures, and they can be discovered using techniques such as seismic reflection. They are important in petroleum geology as they can function as petroleum traps.
The London–Brabant Massif or London–Brabant Platform is, in the tectonic structure of Europe, a structural high or massif that stretches from the Rhineland in western Germany across northern Belgium and the North Sea to the sites of East Anglia and the middle Thames in southern England.
The geology of the Netherlands describes the geological sequence of the Netherlands. Large parts of the Netherlands today are below sea level and have in the past been covered by the sea or flooded at regular intervals. The modern Netherlands formed as a result of the interplay of the four main rivers and the influence of the North Sea and glaciers during ice-ages. The Netherlands is mostly composed of deltaic, coastal and eolian derived sediments during the Pleistocene glacial and interglacial periods.

The San Juan Basin is a geologic structural basin located near the Four Corners region of the Southwestern United States. The basin covers 7,500 square miles and resides in northwestern New Mexico, southwestern Colorado, and parts of Utah and Arizona. Specifically, the basin occupies space in the San Juan, Rio Arriba, Sandoval, and McKinley counties in New Mexico, and La Plata and Archuleta counties in Colorado. The basin extends roughly 100 miles (160 km) N-S and 90 miles (140 km) E-W.

The geology of Kansas encompasses the geologic history and the presently exposed rock and soil. Rock that crops out in the US state of Kansas was formed during the Phanerozoic eon, which consists of three geologic eras: the Paleozoic, Mesozoic and Cenozoic. Paleozoic rocks at the surface in Kansas are primarily from the Mississippian, Pennsylvanian, and Permian periods.

The geology of the North Sea describes the geological features such as channels, trenches, and ridges today and the geological history, plate tectonics, and geological events that created them.
The Rotliegend, Rotliegend Group or Rotliegendes is a lithostratigraphic unit of latest Carboniferous to Guadalupian age that is found in the subsurface of large areas in western and central Europe. The Rotliegend mainly consists of sandstone layers. It is usually covered by the Zechstein and lies on top of regionally different formations of late Carboniferous age.
The Germanic Trias Supergroup is a lithostratigraphic unit in the subsurface of large parts of western and central Europe and the North Sea. Almost all of the Germanic Trias was deposited during the Triassic period and consists of three clearly different units: Buntsandstein, Muschelkalk and Keuper, that gave the period its name. In the past the names of these three units were also used as units in the geologic timescale, but in modern literature they only have a lithostratigraphic meaning.
The Buntsandstein or Bunter sandstone is a lithostratigraphic and allostratigraphic unit in the subsurface of large parts of west and central Europe. The Buntsandstein predominantly consists of sandstone layers of the Lower Triassic series and is one of three characteristic Triassic units, together with the Muschelkalk and Keuper that form the Germanic Trias Supergroup.
The Belloy Formation is a stratigraphical unit of Permian age in the Western Canadian Sedimentary Basin.
The Bone Spring Formation is a geologic formation found in the Delaware Basin in Texas and New Mexico. It preserves fossils dating back to the Leonardian Age of the Permian Period.

The Tansill Formation is a geologic formation in southeastern New Mexico and west Texas, United States. It preserves fossils dating back to the late Guadalupian Age of the Permian period.

The Yeso Group is a group of geologic formations in New Mexico. It contains fossils characteristic of the Kungurian Age of the early Permian Period.

The Kupferschiefer or Kupfermergel, is an extensive and remarkable sedimentary unit in Central Europe. The relatively monotonous succession is typically 30 to 60 centimetres and maximum 2 metres (6.6 ft) thick, but extends over an area of 600,000 square kilometres (230,000 sq mi) across the Southern Permian Basin. The Kupferschiefer can be found in outcrop or in the subsurface straddling six countries, including parts of the southern North Sea. The lateral equivalent outcropping in England is called Marl Slate.

The geology of Italy includes mountain ranges such as the Alps and the Apennines formed from the uplift of igneous and primarily marine sedimentary rocks all formed since the Paleozoic. Some active volcanoes are located in Insular Italy.
The Permian is a geological period.

The Glorieta Sandstone is a geologic formation in New Mexico. It preserves fossils characteristic of the Kungurian age of the Permian geology.
The Castile Formation is a geologic formation in west Texas and southeastern New Mexico, United States. It was deposited in the Ochoan Stage of the Permian period.
The Salado Formation is a geologic formation in west Texas and southeastern New Mexico. It was deposited in the Ochoan Stage of the Permian period.