Marex (Norway)

For 𝐻 ⩾ 𝑁1−^(1/2𝑐) (ln𝑁)^2, where L = ln𝑁 and 𝑐 is a fixed non-integer number satisfying we obtain an asymptotic formula for the number of representations of a sufficiently large integer 𝑁 in the form where 𝑝1, 𝑝2 are prime numbers, 𝑛 is a natural number, and with 𝜇1, 𝜇2, 𝜇3 being fixed positive constants satisfying 𝜇1 + 𝜇2 + 𝜇3 = 1.

Turbulentna okolina i aktualni gospodarski uvjeti prisiljavaju poduzeća na brzo i fleksibilno prilagođavanje promjenama. Preduvjet za to je učinkovit sustav menadžmenta i kontrolinga. No mala i srednja poduzeća se, u tom smislu, vrlo često susreću s ograničenjima, izazvanima prvenstveno zbog nedostatne menadžerske i analitičke ekspertize, nedovoljnog sagledavanja strateškog aspekta poslovanja, odnosno nedostatka strateškog, a vrlo često i operativnog, kontrolinga. U ovom radu, autorice pokušavaju iznaći odgovor na pitanje koje su mogućnosti i ograničenja korištenja instrumenata kontrolinga u funkciji strateškog planiranja u malim i srednjim poduzećima, te ukazuju na to da ovakvi instrumenti, koji se najčešće koriste u velikim poduzećima i kompanijama, trebaju naći svoju primjenu i u malim i srednjim poduzećima, kao neizbježna savjetodavna pomoć menadžerima. U radu autorice, nadalje, obrazlažu specifičnost strateškog planiranja u malim i srednjim poduzećima, te istražuju relevantne čimbenike koji utječu na uspješnost strateškog planiranja u tim, manjim gospodarskim sustavima, pri čemu je nedovoljna primjena instrumenata strateškog kontrolinga tek jedna od mnoštva ograničavajućih okolnosti.

ABSTRACT Of the three subsea wells, drilled so far at the Oseberg field, two wells (drilled in 87/88) have a slight deviation to the true vertical, while the third well has been horizontally drilled (91) in the Gamma North Reservoir. This well will be producing gas for injection into the Oseberg Alpha Reservoir, To enable service of horizontal parts of this last drilled well, use of coiled tubing operations will be necessary. When introducing coiled tubing in operations with X-mas tree and completion/workover riser from a floater, a safety problem occurred with respect to shut in of the well, This ended up with the Subsea Well Intervention BOP (SWIB) where Ram Blow-out-preventer technology was used. Additionally, in order to ensure safe operation in case the floating rig drifting off location, an Emergency Quick Disconnect Package (EQDP) was placed on top of the SWIB. INTRODUCTION The Gamma North reservoir was developed by Norsk Hydro and its five partners*, as part of the Oseberg phase two development, and completed in October 1991. The Oseberg Field is located in blocks 30/6 and 30/9 in the Norwegian Sector of the North Sea. The Gamma North Structure, part of block 30/6, was decided to be developed with one subsea well, in order to exploit its gas reserves for reinfection into the main Oseberg reservoir. However, the nature of the structure also allowed the development of a thin oil layer, which required the drilling of a horizontal section of approximately 700 m. This means that the subsea well, located approximately 9 km. away from the Oseberg C platform as shown in Fig. 1, initially will be producing 10.000bbl/d (max) of oil through an 8" pipeline before the gas production starts. Additionally a 3" service line and an electro-hydraulic umbilical were installed connecting the Gamma North satellite to the Oseberg C platform. The philosophy for all the subsea equipment in the Oseberg Field is to be able to interchange the equipment between the various wells (two subsea wells B49 and B50 were put in operation in 1988). When completing the horizontally drilled Gamma North well, only minor wireline operations were possible, To be able to service the horizontal part of the well, use of coiled tubing operations are necessary. When this was brought forward, the equipment did not comply with the operating philosophy safetywise. The need for more sophisticated cutting mechanism to cut coiled tubing was looked for. Since the similarity between drilling operation and coiled tubing operations are striking when coming to pressure control, it was obvious to use the same well-known drilling BOP technology for coiled tubing operations. This led to the development of the SWIB, Subsea Well Intervention BOP. The new Subsea Well Intervention BOP was put on order in May 1991.