A seqüência mesozóica da bacia de Ucayali é a maior produtora de gás e condensado do Peru. A área do trabalho, denominada Grande Camisea, fica na parte sul da bacia e, na atualidade, pertence à companhia Plupetrol Peru Corporation. Neste trabalho, foi aplicado um método de interpretação de perfis de indução em um poço petrolífero no sector San Martin do campo Camisea (QuickLook Interpretation method). O objetivo consiste na caracterização do reservatório de San Martín utilizando um método de interpretação rápida de perfis elétricos e, assim, fornecer uma visão geral no entendimento de parâmetros de poços e reservatórios, de zonas produtivas e suas características petrofísicas de porosidade e de saturação do óleo. Para validar a interpretação, foram utilizadas a descrição geológica de testemunhos e amostras de calha, descrição e informação do sistema petrolífero do campo e a geologia regional da zona de interesse da bacia. Desta forma, foi possível apresentar uma comparação entre os valores obtidos através dos métodos detalhados executados pela Pluspetrol e o método rápido de interpretação aplicado aqui, assim como o desvio entre ambos os resultados. / The Mesozoic sequence of the Ucayali basin is the main producer of gas and condensate of Peru. The work area is called Gran Camisea, located in the south part of the basin, and, in the present time, belongs to the company Plupetrol Peru Corporation. In this work, a well log interpretation method was used in a gas well in San Martin area, part of the Camisea field. The goal is the characterization of the reservoir of San Martín using a Quick Look log interpretation method, and thus to supply a general view in the understanding of well and reservoirs parameters, productive zones and its petrophysics characteristics of porosity and saturation. To validate the interpretation, besides using the geologic description of well cores and cutting sampling, it was used the description and information of the petroleum system of Camisea gas field and its regional geology. It was possible to present a comparison between Pluspetrol values, obtained through detailed methods, and those from the Quick Look log interpretation method used here, as well as an analysis of convergence between both results.

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No. of bitstreams: 1 thiagorodriguesoliveira.pdf: 11824049 bytes, checksum: ab8b7db8e1cc38ac7c875396e2379120 (MD5) Previous issue date: 2015-03-24 / Essa tese de doutorado apresenta, inicialmente, uma metodologia a ser empregada para a caracterização de redes de energia elétrica para fins de comunicação de dados. Esta metodologia engloba todos os procedimentos e ferramentas de processamento de sinais necessárias para a estimação de características importantes para a avaliação de canais de comunicação de dados. Em seguida, são apresentados resultados da aplicação de tal metodologia em dados provenientes de uma campanha de medição realizada em ambientes internos em residências brasileiras. Algumas características importantes desses canais, tais como ganho médio, banda de coerência, tempo de coerência, o valor quadrático médio do espalhamento de atraso, capacidade do canal e densidade espectral de potência do ruído, são analizadas considerando três bandas de frequência: de 1,7 até 30 MHz, de 1,7 até 50 MHz e de 1,7 até 100 MHz. Comparando os resultados de canais power line communication (PLC) em ambientes residenciais brasileiros com aqueles medidos em outros países, tais como Espanha, Estados Unidos, França e Itália, podemos notar que canais PLC brasileiros apresentam, em geral, menores atenuações, são menos seletivos em frequência e possuem menores espalhamentos de atraso. Por fim, um novo meio de comunicação baseada nas tecnologias PLC e sem fio é apresentada e definida como híbrido PLC-sem fio o qual permite a comunicação física e à distância com a rede de energia elétrica para fins de comunicação de dados. Tal canal de comunicação é avaliado em residências brasileiras e importantes características são extraídas e discutidas. Embora o canal híbrido PLC-sem fio tenha se mostrado mais adverso que o canal PLC para a comunicação de dados, a introdução da mobilidade, de uma forma que é impossível de se obter em sistemas puramente PLC, constitui sua principal vantagem. Essa mobilidade é um importante atrativo que coloca sistemas híbridos em uma posição privilegiada dentre os candidatos para compor a infraestrutura de telecomunicações em redes inteligentes (smart grids), ou para ser usada como uma ferramenta para promover a inclusão digital da população carente de países pobres ou em desenvolvimento. / This work outlines initially a methodology to be applied to the characterization of electric power grids for data communication purposes. This methodology englobes all the procedures and required signal processing tools for a reliable estimation of features that allow the suitability of a media for data communication. Next, PLC (power line communication) channel results provided by the use of such methodology in a data set obtained from a measurement campaing in in-home Brazilian places are presented. The analyzed channel features are the average channel gain, the coherence bandwidth, the coherence time, the root mean squared delay spread, the channel capacity and the noise power spectral density by considering the following frequency bands: from 1.7 up to 30 MHz, from 1.7 up to 50 MHz and from 1.7 up to 100 MHz. Comparisons among the results for in-home Brazilian PLC channels with other provided for other countries such as Spain, United States, France and Italy showed that, in general, in-home Brazilian PLC channels present smaller attenuation, are less frequency selective and showed smaller delay spread than these countries. Finally, a new medium to provide data communication is presented and defined as hybrid PLC-wireless, in which PLC and wireless technologies are combined. Such novel communication channel is characterized in in-home Brazilian places and important channel features are estimated and discussed. Though the hybrid PLC-wireless channel has been shown more adverse than the PLC channel, the introduction of mobility is its main advantage, something that is impossible in traditional PLC technologies. Thus, this mobility is an important issue that puts hybrid PLC-wireless technologies in a privileged position among the candidates to form the communication infrastructure for smart grids, or to be used as a too to solve the digital divide problem that is more accentuated in poor and in developing countries.

The latest Eocene and Oligocene was a time of marked paleoenvironmental change in Taranaki Basin, involving a transition from the accumulation of coal measures and inner shelf deposits to the development of upper bathyal environments. Up until the end of the Early Oligocene (Lower Whaingaroan Stage) Taranaki Basin had an extensional tectonic setting. Marine transgression culminated in the accumulation of condensed facies of the Matapo Sandstone Member of the lower part of the Ngatoro Group. During the Late Oligocene (Upper Whaingaroan Stage) Taranaki Basin's tectonic setting changed to one of crustal shortening with basement overthrusting westward into the basin on Taranaki Fault. The major part of the Ngatoro Group in thickness, including the Tariki Sandstone Member, Otaraoa Formation, Tikorangi Formation and Taimana Formation, accumulated in response to this change in tectonic setting. Various methods of stratigraphic and sedimentological characterisation have been undertaken to evaluate the stratigraphy of the Ngatoro Group. Wireline log records have been calibrated through particle sizing and carbonate digestion of well cuttings. A suite of wireline motifs have been defined for formations and members of the Ngatoro Group. The integration with other lithological and paleoenvironmental data sources has helped to better define the Late Eocene - Oligocene stratigraphy and sedimentary facies for eastern Taranaki Basin margin. U-Pb geochronology by laser ablation inductively coupled plasma-mass spectrometry (LA-ICP-MS) has been used to determine detrital ages for over 350 zircons from 13 samples of Late Eocene - Oligocene sandstone samples in eastern Taranaki Basin and correlative onshore North Island units. The spread of ages (1554 - 102 Ma) and the proportion of ages in particular age bands integrated with modal petrography data have aided provenance evaluation. A range of source rocks contributed to the Late Eocene - Oligocene sedimentary units analysed, mainly the Waipapa Terrane (Early Permian to Late Jurassic) as shown by 206Pb/238U zircon ages and the abundance of fine-grained sedimentary rock fragments observed in samples. The Median Batholith (i.e. Darran/Median Suite and Separation Point Suite) is also identified as a significant source, indicated by Early Triassic to Early Jurassic and Early Cretaceous 206Pb/238U zircon ages and an abundance of quartz in samples. Other minor sources identified include Murihiku and Caples Terranes, Rakaia Sub-terrane and possibly the Karamea Batholith. The Tariki Sandstone and the Hauturu Sandstone have the same source, with the main 206Pb/238U zircon ages of aggregated samples (124 - 116 Ma and 121 Ma, respectively) consistent with a Separation Point Suite/Median Batholith (124 - 116 Ma) source. Derivation of sediments from a landmass that existed to the east and southeast of the Wellington area has been inferred for the Late Eocene - Oligocene units, with subsequent migration of sediments northward into Taranaki Basin and the Waikato Region (i.e. Te Kuiti Group depocentre) via longshore drift. New provenance data have been used to revise understanding about the development of eastern Taranaki Basin margin through the Late Eocene to earliest Miocene. Three new paleogeography maps are presented for the Runangan (Late Eocene), Lower Whaingaroan (Early Oligocene) and Upper Whaingaroan (early-mid-Oligocene). New paleogeography interpretations illustrate a dramatic change in the basin development between Matapo Sandstone (Lower Whaingaroan) and Tariki Sandstone (Upper Whaingaroan) deposition, consistent with an Upper Whaingaroan age for the start of reverse movement on Taranaki Fault.

First, a frequency synthesizer for IEEE 802.15.4 / ZigBee transceiver applications that employs dynamic True Single Phase Clocking (TSPC) circuits in its frequency dividers is presented and through the analysis and measurement results of this synthesizer, the need for low power circuit techniques in frequency dividers is discussed. Next, Differential Cascode Voltage-Switch-Logic (DCVSL) based delay cells are explored for implementing radio-frequency (RF) frequency dividers of low power frequency synthesizers. DCVSL ip- ops offer small input and clock capacitance which makes the power consumption of these circuits and their driving stages, very low. We perform a delay analysis of DCVSL circuits and propose a closed-form delay model that predicts the speed of DCVSL circuits with 8 percent worst case accuracy. The proposed delay model also demonstrates that DCVSL circuits suffer from a large low-to-high propagation delay ( PLH) which limits their speed and results in asymmetrical output waveforms. Our proposed enhanced DCVSL, which we call DCVSL-R, solves this delay bottleneck, reducing PLH and achieving faster operation. We implement two ring-oscillator-based voltage controlled oscillators (VCOs) in 0.13 mu m technology with DCVSL and DCVSL-R delay cells. In measurements, for the same oscillation frequency (2.4GHz) and same phase noise (-113dBc/Hz at 10MHz), DCVSL-R VCO consumes 30 percent less power than the DCVSL VCO. We also use the proposed DCVSL-R circuit to implement the 2.4GHz dual-modulus prescaler of a low power frequency synthesizer in 0.18 mu m technology. In measurements, the synthesizer exhibits -135dBc/Hz phase noise at 10MHz offset and 58 mu m settling time with 8.3mW power consumption, only 1.07mWof which is consumed by the dual modulus prescaler and the buffer that drives it. When compared to other dual modulus prescalers with similar division ratios and operating frequencies in literature, DCVSL-R dual modulus prescaler demonstrates the lowest power consumption. An all digital phase locked loop (ADPLL) that operates for a wide range of frequencies to serve as a multi-protocol compatible PLL for microprocessor and serial link applications, is presented. The proposed ADPLL is truly digital and is implemented in a standard complementary metal-oxide-semiconductor (CMOS) technology without any analog/RF or non-scalable components. It addresses the challenges that come along with continuous wide range of operation such as stability and phase frequency detection for a large frequency error range. A proposed multi-bit bidirectional smart shifter serves as the digitally controlled oscillator (DCO) control and tunes the DCO frequency by turning on/off inverter units in a large row/column matrix that constitute the ring oscillator. The smart shifter block is completely digital, consisting of standard cell logic gates, and is capable of tracking the row/column unit availability of the DCO and shifting multiple bits per single update cycle. This enables fast frequency acquisition times without necessitating dual loop fi lter or gear shifting mechanisms. The proposed ADPLL loop architecture does not employ costly, cumbersome DACs or binary to thermometer converters and minimizes loop filter and DCO control complexity. The wide range ADPLL is implemented in 90nm digital CMOS technology and has a 9-bit TDC, the output of which is processed by a 10-bit digital loop filter and a 5-bit smart shifter. In measurements, the synthesizer achieves 2.5GHz-7.3GHz operation while consuming 10mW/GHz power, with an active area of 0.23 mm2.

The Transmission Control Protocol (TCP) is the dominant transport protocol in today?s Internet. The original design of TCP left congestion control open to future designers. Short of implementing changes to the TCP stack on the end-nodes themselves, Internet Service Providers have employed several techniques to be able to operate their network equipment efficiently. These techniques amount to shaping traffic to reduce cost and improve overall customer satisfaction. <br /><br /> The method that gives maximum control when performing traffic shaping is using an inline traffic shaper. An inline traffic shaper sits in the middle of any flow, allowing packets to pass through it and, with policy-limited freedom, inspects and modifies all packets as it pleases. However, a number of practical issues such as hardware reliability or ISP policy, may prevent such a solution from being employed. For example, an ISP that does not fully trust the quality of the traffic shaper would not want such a product to be placed in-line with its equipment, as it places a significant threat to its business. What is required in such cases is third-party rate control. <br /><br /> Formally defined, a third-party rate controller is one that can see all traffic and inject new traffic into the network, but cannot remove or modify existing network packets. Given these restrictions, we present and study a technique to control TCP flows, namely triple-ACK duplication. The triple-ACK algorithm allows significant capabilities to a third-party traffic shaper. We provide an analytical justification for why this technique works under ideal conditions and demonstrate via simulation the bandwidth reduction achieved. When judiciously applied, the triple-ACK duplication technique produces minimal badput, while producing significant reductions in bandwidth consumption under ideal conditions. Based on a brief study, we show that our algorithm is able to selectively throttle one flow while allowing another to gain in bandwidth.

The Transmission Control Protocol (TCP) is the dominant transport protocol in today?s Internet. The original design of TCP left congestion control open to future designers. Short of implementing changes to the TCP stack on the end-nodes themselves, Internet Service Providers have employed several techniques to be able to operate their network equipment efficiently. These techniques amount to shaping traffic to reduce cost and improve overall customer satisfaction. <br /><br /> The method that gives maximum control when performing traffic shaping is using an inline traffic shaper. An inline traffic shaper sits in the middle of any flow, allowing packets to pass through it and, with policy-limited freedom, inspects and modifies all packets as it pleases. However, a number of practical issues such as hardware reliability or ISP policy, may prevent such a solution from being employed. For example, an ISP that does not fully trust the quality of the traffic shaper would not want such a product to be placed in-line with its equipment, as it places a significant threat to its business. What is required in such cases is third-party rate control. <br /><br /> Formally defined, a third-party rate controller is one that can see all traffic and inject new traffic into the network, but cannot remove or modify existing network packets. Given these restrictions, we present and study a technique to control TCP flows, namely triple-ACK duplication. The triple-ACK algorithm allows significant capabilities to a third-party traffic shaper. We provide an analytical justification for why this technique works under ideal conditions and demonstrate via simulation the bandwidth reduction achieved. When judiciously applied, the triple-ACK duplication technique produces minimal badput, while producing significant reductions in bandwidth consumption under ideal conditions. Based on a brief study, we show that our algorithm is able to selectively throttle one flow while allowing another to gain in bandwidth.

Multiple users compete for a common resource like bandwidth to communicate data in interference networks. Existing approaches in dealing with interference limit the rate of communication due to paucity of shared resources. This limitation in the rate gets more glaring as the number of users in the network increases. For example, existing wireless systems either choose to orthogonalize the users (for example, Frequency Division Multiple Access (FDMA) systems or Code Division Multiple Access (CDMA) systems) or treat interference as Gaussian noise at the receivers. It is well known that these approaches are sub-optimal in general. Orthogonalization of users limit the number of available interference-free channels (known as degrees of freedom, abbreviated as DoF) and treating interference as noise means that the receiver cannot make use of the structure in the interfering signals. This motivates the need to analyze alternate transmit and decoding schemes in interference networks. This thesis mainly analyzes transmit schemes that use linear precoding for various configurations of interference networks with some practical constraints imposed by the use of finite input constellations, propagation delays, and channel state availability at the transmitters. The main contributions of this thesis are listed below. Achievable rates using precoding with finite constellation inputs in Gaussian Interference Channels (GIC) is analyzed. A metric for finding the approximate angle of rotation to maximally enlarge the Constellation Constrained (CC) capacity of two-user Gaussian Strong Interference Channel (GSIC) is proposed. Even as the Gaussian alphabet FDMA rate curve touches the capacity curve of the GSIC, with both the users using the same finite constellation, we show that the CC FDMA rate curve lies strictly inside the CC capacity curve at high powers. For a K-user MIMO GIC, a set of necessary and sufficient conditions on the precoders under which the mutual information between between relevant transmit-receive pairs saturate like in the single user case is derived. Gradient-ascent based algorithms to optimize the sum-rate achieved by precoding with finite constellation inputs and treating interference as noise are proposed. For a class of Gaussian interference networks with general message demands, identified as symmetrically connected interference networks, the expected sumspectral efficiency (in bits/sec/Hz) is shown to grow linearly with the number of transmitters at finite SNR, using a time-domain Interference Alignment (IA) scheme in the presence of line of sight (LOS) channels. For a 2×2 MIMO X-Network with M antennas at each node, we identify spacetime block codes that could be coupled with an appropriate precoding scheme to achieve the maximum possible sum-DoF of 4M 3 , for M = 3, 4. The proposed schemes are shown to achieve a diversity gain of M with SNR-independent finite constellation inputs. The proposed schemes have lower CSIT requirements compared to existing schemes. This thesis also makes an attempt to guarantee a minimum throughput when the zero-interference conditions cannot be satisfied in a wireline network with three unicast sessions with delays, using Precoding Based Network Alignment (PBNA). Three different PBNA schemes namely PBNA with time-varying local encoding coefficients (LECs), PBNA using transform approach and time-invariant LECs, and PBNA using transform approach and block time-varying LECs are proposed and their feasibility conditions analyzed.

Philosophiae Doctor - PhD / The use of integrated approach to evaluate the quality of reservoir rocks is increasingly becoming vital in petroleum geoscience. This approach was employed to unravel the reason for the erratic reservoir quality of sandstones of the F-O gas field with the aim of predicting reservoir quality, evaluate the samples for presence, distribution and character of hydrocarbon inclusions so as to gain a better understanding of the fluid history. Information on the chemical conditions of diagenetic processes is commonly preserved in aqueous and oil fluid inclusion occurring in petroleum reservoir cements. Diagenesis plays a vital role in preserving, creating, or destroying porosity and permeability, while the awareness of the type of trap(s) prior to drilling serves as input for appropriate drilling designs. Thus an in-depth understanding of diagenetic histories and trap mechanisms of potential reservoirs are of paramount interest during exploration stage.This research work focused on the F-O tract located in the eastern part of Block 9 on the north-eastern flank of the Bredasdorp Basin, a sub-basin of Outeniqua Basin on the southern continental shelf, offshore South Africa. The Bredasdorp Basin experienced an onset of rifting during the Middle-Late Jurassic as a result of dextral trans-tensional stress produced by the breakup of Gondwanaland that occurred in the east of the Falkland Plateau and the Mozambique Ridge. This phenomenon initiated a normal faulting, north of the Agulhas-Falkland fracture zone followed by a widespread uplift of major bounding arches within the horst blocks in the region that enhanced an erosion of lower Valanginian drift to onset second order unconformity.This study considered 52 selected reservoir core samples from six wells(F-O1, F-O2, F-O3, F-O4, F-R1 and F-S1) in the F-O field of Bredasdorp Basin with attention on the Valanginian age sandstone. An integrated approach incorporating detailed core descriptions, wireline log analysis (using Interactive petrophysics), structural interpretation from 2D seismic lines (using SMT software) cutting across all the six wells, multi-mineral (thin section, SEM,XRD) analyses, geochemical (immobile fluid and XRF) and fluid inclusion(fluid inclusion petrography and bulk volatile) analyses were deployed for the execution of this study. Core description revealed six facies from the six wells grading from pure shale (Facies 1), through progressively coarsening interbedded sand-shale “heterolithic facies (Facies 2 - 4), to cross bedded and minor massive sandstone (Facies 5 - 6). Sedimentary structures and mineral patches varies from well to well with bioturbation, synaeresis crack, echinoid fragments, fossil burrow, foreset mudrapes, glauconite and siderite as the main observed features. All these indicate that the Valanginian reservoir section in the studied wells was deposited in the upper shallow marine settings. A combination of wireline logs were used to delineate the reservoir zone prior to core description. The principal reservoirs are tight, highly faulted Valanginian shallow-marine sandstones beneath the drift-onset unconformity, 1At1 and were deposited as an extensive sandstone “sheet” within a tidal setting. The top and base of the reservoir are defined by the 13At1 and 1At1 seismic events,respectively. This heterogeneous reservoir sandstones present low-fair porosity of between 2 to 18 % and a low-fair permeability value greater than 0.1 to 10 mD. The evolution of the F-O field was found to be controlled by extensional events owing to series of interpreted listric normal faults and rifting or graben generated possibly by the opening of the Atlantic. The field is on a well-defined structural high at the level of the regional drift-onset unconformity, 1At1.Multi-mineral analysis reveals the presence of quartz and kaolinite as the major porosity and permeability constraint respectively along with micaceous phases. The distribution of quartz and feldspar overgrowth and crystals vary from formation to formation and from bed to bed within the same structure. The increase in temperature that led to kaolinite formation could have triggered the low-porosity observed. Three types of kaolinite were recognized in the sandstone, (1) kaolinite growing in between expanded mica flakes; (2)vermiform kaolinite; and (3) euhedral kaolinite crystals forming matrix.Compositional study of the upper shallow marine sandstones in the Valanginian age indicates that the sandstones are geochemically classified as majorly litharenite having few F-O2 samples as subarkose with all F-O1 samples classified as sub-litharenite sandstone.Most of the studied wells are more of wet gas, characterized by strong response of C2 – C5 with F-O1 well showing more of gas condensate with oil shows (C7 – C11) based on the number of carbon atom present. In some cases,sulphur species (characterized by the presence of H2S, S2, CS2 and SO2) of probably thermal origin were identified while some log signatures revealed aromatic enriched sandstones possibly detecting nearby gas charges. The studied wells in the F-O field, based on fluid inclusion bulk volatile analysis are classified as gas discoveries except for F-O1 with gas condensate and oil shows.The integration of multi-mineral results and fluid inclusion studies show a dead oil stain with no visible liquid petroleum inclusion in the samples indicating the presence of quartz, kaolinite and stylolite as a major poro-perm constraint.

Network coding has emerged as an attractive alternative to routing because of the through put improvement it provides by reducing the number of channel uses. In a wireless scenario, in addition, further improvement can be obtained through Physical layer Network Coding (PNC), a technique in which nodes are allowed to transmit simultaneously, instead of transmitting in orthogonal slots. In this thesis, the design and analysis of network coding schemes are considered, for wireless two-way relaying, multi-user Multiple Access Relay Channel (MARC) and wireline networks. In a wireless two-way relay channel with PNC, the simultaneous transmissions of user nodes result in Multiple Access Interference (MAI) at there lay node. The harmful effect of MAI is the presence of signal set dependent deep channel fade conditions, called singular fade states, under which the minimum distance of the effective constellation at the relay become zero. Adaptively changing the network coding map used at the relay according to channel conditions greatly reduces the impact of this MAI. In this work, we obtain these adaptive PNC maps, which are finite in number ,by completing partially filled Latin Squares and using graph vertex coloring. Having obtained the network coding maps, the set of all possible channel realizations is quantized into a finite number of regions, with a specific network coding map chosen in a particular region and such a quantization is obtained analytically for 2λ-PSK signal set. The performance of the adaptive PNC scheme for two-way relaying is analyzed and tight high SNR upper bounds are obtained for the average end-to-end symbol error probability, in terms of the average error probability of a point-to-point fading channel. The adaptive PNC scheme is generalized for two-way relaying with multiple antennas at the nodes. As an alternative to the adaptive PNC scheme for two-way relaying, a Distributed Space Time Coding (DSTC) scheme is proposed, which effectively re-moves the effect of singular fade states at the transmitting nodes itself without any Channel State Information at the Transmitter (CSIT), and without any need to change the PNC map as a function of channel fade conditions. It is shown that the singular fade states can be viewed equivalently as vector subspaces of C2, which are referred to as the singular fade subspaces. DSTC design criterion to minimize the number of singular fade subspaces and maximize the coding gain is formulated and explicit low decoding complexity DSTC designs are provided. For the K-user MARC, in which K source nodes want to transmit messages to a destination node D with the help of are lay node R, a new PNC scheme is proposed. Use of a many-to-one PNC map with conventional minimum squared Euclidean distance decoding at D, results in a loss of diversity order due to error propagation from the relay node. To counter this, we propose a novel low complexity decoder which offers the maximum diversity order of two. Next, we consider wire line networks and explore the connections between linear network coding, linear index coding and discrete polymatroids, which are the multi-set analogue of matroids. We define a discrete polymatroidal network and show that a fractional vector linear solution over a field Fq exists for a network if and only if the network is discrete polymatroidal with respect to a discrete polymatroid representable over Fq.An algorithm to construct networks starting from certain class of discrete polymatroids is provided. Every representation over Fq for the discrete polymatroid, results in a fractional vector linear solution over Fq for the constructed network. It is shown that a linear solution to an index coding problem exists if and only if there exists a representable discrete polymatroid satisfying certain conditions which are determined by the index coding problem considered. El Rouayheb et. al. showed that the problem of finding a multi-linear representation for a matroid can be reduced to finding a perfect linear index coding solution for an index coding problem obtained from that matroid. Multi-linear representation of a matroid can be viewed as a special case of representation of an appropriate discrete polymatroid. We generalize the result of El Rouayheb et. al. by showing that the problem of finding a representation for a discrete polymatroid can be reduced to finding a perfect linear index coding solution for an index coding problem obtained from that discrete polymatroid.