Ensemble Map Research Articles

지구통계 기법을 이용한 오일샌드 저류층 해석 및 스팀주입중력법을 이용한 비투멘 회수 적지 선정 사전 연구

본 연구에서는 캐나다 아사바스카 지역의 맥머레이층에 대한 3차원 지구통계 모사를 실시하였으며 모사 결과를 바탕으로 심부지열회수방법을 통한 경제적 산출 가능 지역을 가늠하고자 하였다. 비투멘의 효율적인 생산을 위하여 SAGD 공법의 최적 입지를 선정하는데 있어 스팀챔버의 충분한 수직적 연장성을 확보하는 것은 중요한 사항이다. 연구지역에서 획득한 110개의 시추공 자료에 대하여 마르코프 전이 확률 기반의 분석을 실시하였으며 이를 바탕으로 맥머레이층 구성 암상에 대한 추계론적 예측을 실시하였다. 추계론적 모사를 통하여 획득한 다중재현을 기반으로 앙상블 확률 분포도를 제작하였으며 이는 각 암상이 분포 할 수 있는 포텐셜을 보여준다. 앙상블 확률 분포도를 이용하여 투수성 퇴적층(역질 퇴적층 및 사질 퇴적층)에 대한 누적 층후도를 구성하였으며 이를 바탕으로 SAGD 공법이 적용될 수 있는 최적 입지를 선정하였다. SAGD 최적 입지 선정을 위한 추가적인 분석을 실시하기 위하여 전이율을 바탕으로 한 단일 퇴적층의 평균적인 수직 및 수평적 연장성을 산정하였다. 투수성 퇴적층의 평균적인 수직적 연장성은 대체로 투수성 퇴적층에 대한 누적층후도 분포도와 유사한 분포 양상을 보이나 일부 누적 층후가 큰 위치에서 유사하지 않은 양상을 보인다. 이는 누적 층후도와 평균적인 수직적 연장성 분포 양상이 유사하지 않은 지역은 투수성 퇴적층과 다른 암상과의 교호성은 매우 크나 투수성 퇴적층의 수직적인 연장성은 좋지 않음을 의미한다. 따라서 누적층후도 뿐 만 아니라 투수성 퇴적층의 수직적 연장성 또한 충분히 고려하였을 때 건전한 SAGD 최적 입지를 선정하는데 충분히 신뢰성 있는 결론을 도출 할 것으로 판단된다. In the study, three-dimensional geostatistical simulations on McMurray Formation which is the largest oil sand reservoir in Athabasca area, Canada were performed, and the optimal site for steam assisted gravity drainage (SAGD) was selected based on the predictions. In the selection, the factors related to the vertical extendibility of steam chamber were considered as the criteria for an optimal site. For the predictions, 110 borehole data acquired from the study area were analyzed in the Markovian transition probability (TP) framework and three-dimensional distributions of the composing media were predicted stochastically through an existing TP based geostatistical model. The potential of a specific medium at a position within the prediction domain was estimated from the ensemble probability based on the multiple realizations. From the ensemble map, the cumulative thickness of the permeable media (i.e. Breccia and Sand) was analyzed and the locations with the highest potential for SAGD applications were delineated. As a supportive criterion for an optimal SAGD site, mean vertical extension of a unit permeable media was also delineated through transition rate based computations. The mean vertical extension of a permeable media show rough agreement with the cumulative thickness in their general distribution. However, the distributions show distinctive disagreement at a few locations where the cumulative thickness was higher due to highly alternating juxtaposition of the permeable and the less permeable media. This observation implies that the cumulative thickness alone may not be a sufficient criterion for an optimal SAGD site and the mean vertical extension of the permeable media needs to be jointly considered for the sound selections.

Cluster ensembles and Kac–Moody groups

We study the relationship between two sets of coordinates on a double Bruhat cell, the cluster variables introduced by Berenstein, Fomin, and Zelevinsky and the X-coordinates defined by the coweight parametrization of Fock and Goncharov. In these coordinates, we show that the generalized Chamber Ansatz of Fomin and Zelevinsky coincides with the cluster ensemble map, a canonical monomial transformation between the cluster variables and X-coordinates defined by a common exchange matrix. We prove this in the setting of an arbitrary symmetrizable Kac–Moody group, generalizing along the way many previous results on the double Bruhat cells of a semisimple algebraic group. In particular, we construct an upper cluster algebra structure on the coordinate ring of any double Bruhat cell in a symmetrizable Kac–Moody group, proving a conjecture of Berenstein, Fomin, and Zelevinsky.

The direct use of radar satellites for event-specific flood risk mapping

A near-simultaneous satellite acquisition of a flood event on 12 December 2006 on the Dee River in Wales (UK) is used to illustrate the potential to develop standalone space-borne flood risk mapping techniques. Both the ERS-2 and ENVISAT satellites recorded the event close to flood peak and only 28 min apart. This unique opportunity enables the creation of a very rare but extremely useful observed data set for flood inundation studies. This letter illustrates how this unique set of space-borne radar images can be used for rapid flood risk mapping. An event-specific weighted hazard map was generated based on plausible flood area observations from an aggregation of widely applied image-processing techniques. This map can be further augmented to an event-specific fuzzy flood risk map by fusing the multi-algorithm ensemble map with vulnerability-weighted land cover vector data in a geographic information system (GIS) environment. The technique presented is fairly flexible and leads to a potentially useful data set for direct use in flood management.

Optimization of irregular repeat accumulate codes for MIMO systems with iterative receivers

This paper takes into account the design optimization of the random-like ensemble of irregular repeat accumulate (IRA) codes for multiple-input multiple-output (MIMO) communication systems employing iterative receivers. First, the density evolution-based procedure for optimizing the IRA code ensemble is presented. An approximation method based on linear programming is adopted to design an IRA code with the extrinsic information transfer (EXIT) chart matched to that of the soft MIMO demodulator. The authors then reveal the relationship between the IRA codes and the low-density parity-check (LDPC) codes. With a code ensemble mapping relationship between an IRA code and an LDPC code, a quasi-optimal IRA code can be obtained by transforming an optimal LDPC code designed for MIMO systems. Two types of soft MIMO detectors are treated, namely, the maximum a posteriori (MAP) detector and the soft interference canceller with linear MMSE filtering (SIC-MMSE). The results show that with the MAP receiver the designed IRA codes can perform within 1 dB from the ergodic capacities of the MIMO systems under consideration. The authors also treat the short-length IRA code design for block fading MIMO channels. They adopt design techniques for short-length LDPC codes to improve the performance of the short-length IRA code and to reduce the error floor.

Characterization of fibrillatory rhythms by ensemble vector directional analysis.

Recent studies have demonstrated that fibrillatory rhythms are not random phenomena but have definable patterns. However, standard mapping techniques may have limitations in their ability to identify the organization of fibrillation. The purpose of this study was to develop and apply a method, "ensemble vector mapping," for characterizing the spatiotemporal organization of fibrillation. Ventricular fibrillation was induced by burst pacing in normal mongrel dogs. In a separate protocol, atrial fibrillation was induced by epicardial aconitine application. Epicardial electrograms were recorded from a 112-electrode plaque array using a computerized mapping system. Vectors were created by summing orthogonal bipolar electrograms. The magnitude of the vectors was transformed using a logarithmic function, integrated over time, and normalized for local electrogram amplitude to produce an "ensemble vector" index whose magnitude is high when beat-to-beat activation direction is consistent and low when activation direction is variable. The mean index was 137 +/- 36 mV/s during ventricular pacing at a cycle length of 300 ms but only 39 +/- 23 mV/s during ventricular fibrillation (P < 0.001). The ensemble vector index was also lower during atrial fibrillation (60 +/- 54 mV/s) than during atrial pacing (115 +/- 27 mV/s, P < 0.01 vs. atrial fibrillation) but not as low as during ventricular fibrillation (P < 0.05, atrial vs. ventricular fibrillation). The index was also capable of distinguishing atrial tachycardia from atrial fibrillation. Ensemble vector mapping produces an objective assessment of the consistency of myocardial activation during fibrillation. The consistency of activation direction differs in different models of fibrillation and is higher during atrial than ventricular fibrillation. This technique has the potential to rapidly characterize repetitive activation patterns in fibrillatory rhythms and may help distinguish among different characteristics of fibrillatory rhythms.