Aplicação de sistemas microemulsionados ácidos em acidificação de poços

Stimulation operations have with main objective restore or improve the productivity or injectivity rate in wells. Acidizing is one of the most important operations of well stimulation, consist in inject acid solutions in the formation under fracture formation pressure. Acidizing have like main purpose remove near wellbore damage, caused by drilling or workover operations, can be use in sandstones and in carbonate formations. A critical step in acidizing operation is the control of acid-formation reaction. The high kinetic rate of this reaction, promotes the consumed of the acid in region near well, causing that the acid treatment not achive the desired distance. In this way, the damage zone can not be bypassed. The main objective of this work was obtain stable systems resistant to the different conditions found in field application, evaluate the kinetic of calcite dissolution in microemulsion systems and simulate the injection of this systems by performing experiments in plugs. The systems were obtained from two non ionic surfactants, Unitol L90 and Renex 110, with sec-butanol and n-butanol like cosurfactants. The oily component of the microemlsion was xilene and kerosene. The acqueous component was a solution of HCl 15-26,1%. The results shown that the microemulsion systems obtained were stable to temperature until 100ºC, high calcium concentrations, salinity until 35000 ppm and HCl concentrations until 25%. The time for calcite dissolution in microemulsion media was 14 times slower than in aqueous HCl 15%. The simulation in plugs showed that microemulsion systems promote a distributed flux and promoted longer channels. The permeability enhancement was between 177 - 890%. The results showed that the microemulsion systems obtained have potential to be applied in matrix acidizing

Análise da modelagem experimental da perda de injetividade

Injectivity decline, which can be caused by particle retention, generally occurs during water injection or reinjection in oil fields. Several mechanisms, including straining, are responsible for particle retention and pore blocking causing formation damage and injectivity decline. Predicting formation damage and injectivity decline is essential in waterflooding projects. The Classic Model (CM), which incorporates filtration coefficients and formation damage functions, has been widely used to predict injectivity decline. However, various authors have reported significant discrepancies between Classical Model and experimental results, motivating the development of deep bed filtration models considering multiple particle retention mechanisms (Santos & Barros, 2010; SBM). In this dissertation, inverse problem solution was studied and a software for experimental data treatment was developed. Finally, experimental data were fitted using both the CM and SBM. The results showed that, depending on the formation damage function, the predictions for injectivity decline using CM and SBM models can be significantly different

Topological signatures in CMB temperature anisotropy maps

We propose an alternative formalism to simulate cosmic microwave background (CMB) temperature maps in Lambda CDM universes with nontrivial spatial topologies. This formalism avoids the need to explicitly compute the eigenmodes of the Laplacian operator in the spatial sections. Instead, the covariance matrix of the coefficients of the spherical harmonic decomposition of the temperature anisotropies is expressed in terms of the elements of the covering group of the space. We obtain a decomposition of the correlation matrix that isolates the topological contribution to the CMB temperature anisotropies out of the simply connected contribution. A further decomposition of the topological signature of the correlation matrix for an arbitrary topology allows us to compute it in terms of correlation matrices corresponding to simpler topologies, for which closed quadrature formulas might be derived. We also use this decomposition to show that CMB temperature maps of (not too large) multiply connected universes must show patterns of alignment, and propose a method to look for these patterns, thus opening the door to the development of new methods for detecting the topology of our Universe even when the injectivity radius of space is slightly larger than the radius of the last scattering surface. We illustrate all these features with the simplest examples, those of flat homogeneous manifolds, i.e., tori, with special attention given to the cylinder, i.e., T-1 topology.

Injetividade de apicações do Rn

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

On global linearization of planar involutions

Let phi: a"e(2) -> a"e(2) be an orientation-preserving C (1) involution such that phi(0) = 0. Let Spc(phi) = {Eigenvalues of D phi(p) | p a a"e(2)}. We prove that if Spc(phi) aS, a"e or Spc(phi) a (c) [1, 1 + epsilon) = a... for some epsilon > 0, then phi is globally C (1) conjugate to the linear involution D phi(0) via the conjugacy h = (I + D phi(0)phi)/2,where I: a"e(2) -> a"e(2) is the identity map. Similarly, we prove that if phi is an orientation-reversing C (1) involution such that phi(0) = 0 and Trace (D phi(0)D phi(p) > - 1 for all p a a"e(2), then phi is globally C (1) conjugate to the linear involution D phi(0) via the conjugacy h. Finally, we show that h may fail to be a global linearization of phi if the above conditions are not fulfilled.

Prediction of water–rock interaction and porosity evolution in a granitoid-hosted enhanced geothermal system, using constraints from the 5 km Basel-1 well

Numerical simulations based on plans for a deep geothermal system in Basel, Switzerland are used here to understand chemical processes that occur in an initially dry granitoid reservoir during hydraulic stimulation and long-term water circulation to extract heat. An important question regarding the sustainability of such enhanced geothermal systems (EGS), is whether water–rock reactions will eventually lead to clogging of flow paths in the reservoir and thereby reduce or even completely block fluid throughput. A reactive transport model allows the main chemical reactions to be predicted and the resulting evolution of porosity to be tracked over the expected 30-year operational lifetime of the system. The simulations show that injection of surface water to stimulate fracture permeability in the monzogranite reservoir at 190 °C and 5000 m depth induces redox reactions between the oxidised surface water and the reduced wall rock. Although new calcite, chlorite, hematite and other minerals precipitate near the injection well, their volumes are low and more than compensated by those of the dissolving wall-rock minerals. Thus, during stimulation, reduction of injectivity by mineral precipitation is unlikely. During the simulated long-term operation of the system, the main mineral reactions are the hydration and albitization of plagioclase, the alteration of hornblende to an assemblage of smectites and chlorites and of primary K-feldspar to muscovite and microcline. Within a closed-system doublet, the composition of the circulated fluid changes only slightly during its repeated passage through the reservoir, as the wall rock essentially undergoes isochemical recrystallization. Even after 30 years of circulation, the calculations show that porosity is reduced by only ∼0.2%, well below the expected fracture porosity induced by stimulation. This result suggests that permeability reduction owing to water–rock interaction is unlikely to jeopardize the long-term operation of deep, granitoid-hosted EGS systems. A peculiarity at Basel is the presence of anhydrite as fracture coatings at ∼5000 m depth. Simulated exposure of the circulating fluid to anhydrite induces a stronger redox disequilibrium in the reservoir, driving dissolution of ferrous minerals and precipitation of ferric smectites, hematite and pyrite. However, even in this scenario the porosity reduction is at most 0.5%, a value which is unproblematic for sustainable fluid circulation through the reservoir.

Quasi-isometries and isoperimetric inequalities

We consider the stability of isoperimetric inequalities under quasi-isometries between Riemann surfaces. Kanai observed that quasi-isometries preserve isoperimetric inequalities on complete Riemannian manifolds with finite geometry: positive injectivity radius and Ricci curvature bounded from below (see [2]). In [1], it is shown that the linear isoperimetric inequality is a quasi-isometric invariant for planar Riemann surfaces (genus zero surfaces) with vanishing injectivity radius. Moreover, it is proved that non-linear isoperimetric inequalities can only hold for Riemann surfaces with positive injectivity radius, and hence, by Kanai's observation, preserved by quasi-isometries. In this talk we present an overview on isoperimetric inequalities and give some of the ideas of the proofs of the results cited above.

Caracterización de parámetros petrofísicos relacionados con la capacidad de almacenamiento de CO2 en el acuífero salino profundo de Hontomín (Burgos)

La conciencia de la crisis de la modernidad -que comienza ya a finales del siglo XIX- ha cobrado más experiencia debido al conocimiento de los límites del desarrollo económico, ya que como parecía razonable pensar, también los recursos naturales son finitos. En 1972, el Club de Roma analizó las distintas opciones disponibles para conseguir armonizar el desarrollo sostenible y las limitaciones medioambientales. Fue en 1987 cuando la Comisión Mundial para el Medio Ambiente y el Desarrollo de la ONU definía por primera vez el concepto de desarrollo sostenible. Definición que posteriormente fue incorporada en todos los programas de la ONU y sirvió de eje, por ejemplo, a la Cumbre de la Tierra celebrada en Río de Janeiro en 1992. Parece evidente que satisfacer la demanda energética, fundamentalmente desde la Revolución Industrial en el s XIX, trajo consigo un creciente uso de los combustibles fósiles, con la consiguiente emisión de los gases de efecto invernadero (GEI) y el aumento de la temperatura global media terrestre. Esta temperatura se incrementó en los últimos cien años en una media de 0.74ºC. La mayor parte del incremento observado desde la mitad del siglo XX en esta temperatura media se debe, con una probabilidad de al menos el 90%, al aumento observado en los GEI antropogénicos, siendo uno de ellos el CO2 que proviene de la transformación del carbono de los combustibles fósiles durante su combustión. Ante el creciente uso de los combustibles fósiles, los proyectos CAC, proyectos de captura, transporte y almacenamiento, se presentan como una contribución al desarrollo sostenible ya que se trata de una tecnología que permite mitigar el cambio climático. Para valorar si la tecnología CAC es sostenible, habrá que comprobar si existe o no capacidad para almacenar el CO2 en una cantidad mayor a la de producción y durante el tiempo necesario que impone la evolución de la concentración de CO2 en la atmósfera para mantenerla por debajo de las 450ppmv (concentración de CO2 que propone el Panel Intergubernamental para el Cambio Climático). El desarrollo de los proyectos CAC completos pasa por la necesaria selección de adecuados almacenes de CO2 que sean capaces de soportar los efectos de las presiones de inyección, así como asegurar la capacidad de dichos almacenes y la estanqueidad del CO2 en los mismos. La caracterización geológica de un acuífero susceptible de ser almacén de CO2 debe conducir a determinar las propiedades que dicho almacén posee para asegurar un volumen adecuado de almacenamiento, una inyectabilidad del CO2 en el mismo a un ritmo adecuado y la estanqueidad del CO2 en dicho acuífero a largo plazo. El presente trabajo pretende estudiar los parámetros que tienen influencia en el cálculo de la capacidad del almacén, para lo que en primer lugar se ha desarrollado la tecnología necesaria para llevar a cabo la investigación mediante ensayos de laboratorio. Así, se ha desarrollado una patente, "ATAP, equipo para ensayos petrofísicos (P201231913)", con la que se ha llevado a cabo la parte experimental de este trabajo para la caracterización de los parámetros que tienen influencia en el cálculo de la capacidad del almacén. Una vez desarrollada la tecnología, se aborda el estudio de los distintos parámetros que tienen influencia en la capacidad del almacén realizando ensayos con ATAP. Estos ensayos definen el volumen del almacenamiento, llegándose a la conclusión de que en la determinación de este volumen, juegan un papel importante el alcance de los mecanismos trampa, físicos o químicos, del CO2 en el almacén. Ensayos que definen la capacidad del almacén de "aceptar" o "rechazar" el CO2 inyectado, la inyectabilidad, y por último, ensayos encaminados a determinar posibles fugas que se pueden dar a través de los pozos de inyección, definidos estos como caminos preferenciales de fugas en un almacén subterráneo de CO2. Queda de este modo caracterizada la estanqueidad del CO2 en el acuífero a largo plazo y su influencia obvia en la determinación de la capacidad del almacén. Unido al propósito de la estimación de la capacidad del almacén, se encuentra el propósito de asegurar la estanqueidad de dichos almacenes en el tiempo, y adelantarse a la evolución de la pluma de CO2 en el interior de dichos almacenes. Para cumplir este propósito, se ha desarrollado un modelo dinámico a escala de laboratorio, mediante el programa ECLIPSE 300, con el fin de establecer una metodología para el cálculo de la capacidad estimada del almacén, así como el estudio de la evolución de la pluma de CO2 dentro del acuífero a lo largo del tiempo, partiendo de los resultados obtenidos en los ensayos realizados en ATAP y con la modelización de la probeta de roca almacén empleada en dichos ensayos. Presentamos por tanto un trabajo que establece las bases metodológicas para el estudio de la influencia de distintos parámetros petrofísicos en el cálculo de la capacidad del almacén unidos al desarrollo tecnológico de ATAP y su utilización para la determinación de dichos parámetros aplicables a cada acuífero concreto de estudio. ABSTRACT The crisis of modernity –which begins at the end of 19th Century- has been more important due to the knowledge of the limits of economic development, since it appeared to be thought reasonable, the natural resources are finite. In 1972, The Club of Rome analyzed the different options available in order to harmonize the sustainability and the environment development. It was in 1987 when The Global Commission on The Environment and the Development of UN, defined for the first time the concept of Sustainable Development. This definition that was fully incorporated in all the UN programs and it was useful as an axis, for example, in La Cumbre de la Tierra summit in Río de Janeiro in 1992. It seems obvious to satisfy energetic demand, basically after The Industrial Revolution in 19th Century, which represented an increasing use of fossil fuels, therefore greenhouse gases emission and the increasing of global average temperature. This temperature increased in the last 100 years up to 0.74ºC. The major part of the temperature increase is due to the increase observed in Greenhouse gases with human origin, at least with 90% of probability. The most important gas is the CO2 because of its quantity. In the face of the increasing use of fossil fuels, the CCS projects, Carbon Capture and Storage projects, appear as a contribution of sustainable development since it is a technology for avoiding the climate change. In order to evaluate if CCS technology is sustainable, it will be necessary to prove if the capacity for CO2 storage is available or not in a quantity greater than the production one and during the time necessary to keep the CO2 concentration in the atmosphere lower than 450ppmv (concentration imposed by IPCC). The development of full CCS projects goes through the selection of good CO2 storages that are able to support the effects of pressure injection, and assure the capacity of such storages and the watertightness of CO2. The geological characterization of the aquifer that could be potential CO2 storage should lead to determine the properties that such storage has in order to assure the adequate storage volume, the CO2 injectivity in a good rate, and the watertightness of the CO2 in the long term. The present work aims to study the parameters that have influence on the calculation of storage capacity, and for that purpose the appropriate technology has been developed for carrying out the research by mean of laboratory tests. Thus, a patent has been developed, "ATAP, equipo para ensayos petrofísicos (P201231913)", that has been used for developing the experimental part of this work. Once the technology has been developed, the study of different parameters, that have influence on the capacity of the storage, has been addressed developing different tests in ATAP. These tests define the storage volume which is related to the scope of different CO2 trap mechanisms, physical or chemical, in the storage. Tests that define the capacity of the storage to “accept” or “reject” the injected CO2, the injectivity, and tests led to determine possible leakages through injection wells. In this way we could talk about the watertightness in the aquifer in the long term and its influence on the storage capacity estimation. Together with the purpose of the storage capacity estimation, is the purpose of assuring the watertightness of such storages in the long term and anticipating the evolution of CO2 plume inside such aquifers. In order to fulfill this purpose, a dynamic model has been developed with ECLIPSE 300, for stablishing the methodology for the calculation of storage capacity estimation and the evolution of the CO2 plume, starting out with the tests carried out in ATAP. We present this work that establishes the methodology bases for the study of the influence of different petrophysics parameters in the calculation of the capacity of the storage together with the technological development of ATAP and its utilization for the determination of such parameters applicable to each aquifer.

Boundary integral equations for acoustical inverse sound-soft scattering

The shape of a plane acoustical sound-soft obstacle is detected from knowledge of the far field pattern for one time-harmonic incident field. Two methods based on solving a system of integral equations for the incoming wave and the far field pattern are investigated. Properties of the integral operators required in order to apply regularization, i.e. injectivity and denseness of the range, are proved.

On the sense preserving mappings in the Helm topology in the plane

∗Research supported by the grant No. GAUK 186/96 of Charles University.

Modelagem matemática e experimental da perda de injetividade em poços canhoneados

Water injection in oil reservoirs is a recovery technique widely used for oil recovery. However, the injected water contains suspended particles that can be trapped, causing formation damage and injectivity decline. In such cases, it is necessary to stimulate the damaged formation looking forward to restore the injectivity of the injection wells. Injectivity decline causes a major negative impact to the economy of oil production, which is why, it is important to foresee the injectivity behavior for a good waterflooding management project. Mathematical models for injectivity losses allow studying the effect of the injected water quality, also the well and formation characteristics. Therefore, a mathematical model of injectivity losses for perforated injection wells was developed. The scientific novelty of this work relates to the modeling and prediction of injectivity decline in perforated injection wells, considering deep filtration and the formation of external cake in spheroidal perforations. The classic modeling for deep filtration was rewritten using spheroidal coordinates. The solution to the concentration of suspended particles was obtained analytically and the concentration of the retained particles, which cause formation damage, was solved numerically. The acquisition of the solution to impedance assumed a constant injection rate and the modified Darcy´s Law, defined as being the inverse of the normalized injectivity by the inverse of the initial injectivity. Finally, classic linear flow injectivity tests were performed within Berea sandstone samples, and within perforated samples. The parameters of the model, filtration and formation damage coefficients, obtained from the data, were used to verify the proposed modeling. The simulations showed a good fit to the experimental data, it was observed that the ratio between the particle size and pore has a large influence on the behavior of injectivity decline.

Some Inverse Problems in Analysis and Geometry

Thesis (Ph.D.)--University of Washington, 2016-08

Geological Characterisation of Depleted Oil and Gas Reservoirs for Carbon Sequestration Potentials in a Field in the Niger Delta, Nigeria

The injectivity, containment and storage capacity of sandstone reservoirs in a field in the Coastal Swamp depobelt of the onshore eastern Niger Delta were evaluated using wireline logs and seismic data to assess their potentials for carbon dioxide storage and geosequestration. The reservoir formation consists of multilayered alternating beds of sandstone and shale cap rocks. Active seismicity and fracturing intensity are low and growth faults provide the reservoir sealing mechanisms. Three reservoirs were delineated at depths between 3319 m and 3539 m which will keep injected CO2 in a supercritical state. The reservoir depth of at least 800 m, porosity and permeability of more than 10 percent and 20 mD, and a caprock thickness of at least 10 m, in addition to geothermal gradients of 13.46 to 33.66 ºC /km are the ideal conditions for the efficacy of storage. Comparison of the derived reservoir and seal properties such as porosity, permeability, thickness and depth with the minimum recommended site selection criteria shows that the reservoirs are potential candidates for carbon geosequestration with a total theoretical storage capacity of 147MM tons.

Modelagem analítica e experimental da filtração em meios porosos

Deep bed filtration occurs in several industrial and environmental processes like water filtration and soil contamination. In petroleum industry, deep bed filtration occurs near to injection wells during water injection, causing injectivity reduction. It also takes place during well drilling, sand production control, produced water disposal in aquifers, etc. The particle capture in porous media can be caused by different physical mechanisms (size exclusion, electrical forces, bridging, gravity, etc). A statistical model for filtration in porous media is proposed and analytical solutions for suspended and retained particles are derived. The model, which incorporates particle retention probability, is compared with the classical deep bed filtration model allowing a physical interpretation of the filtration coefficients. Comparison of the obtained analytical solutions for the proposed model with the classical model solutions allows concluding that the larger the particle capture probability, the larger the discrepancy between the proposed and the classical models

Estudo paramétrico da recuperação de óleo no processo de drenagem gravitacional com injeção de CO2

The gas injection has become the most important IOR process in the United States. Furthermore, the year 2006 marks the first time the gas injection IOR production has surpassed that of steam injection. In Brazil, the installation of a petrochemical complex in the Northeast of Brazil (Bahia State) offers opportunities for the injection of gases in the fields located in the Recôncavo Basin. Field-scale gas injection applications have almost always been associated with design and operational difficulties. The mobility ratio, which controls the volumetric sweep, between the injected gas and displaced oil bank in gas processes, is typically unfavorable due to the relatively low viscosity of the injected gas. Furthermore, the difference between their densities results in severe gravity segregation of fluids in the reservoirs, consequently leading to poor control in the volumetric sweep. Nowadays, from the above applications of gas injection, the WAG process is most popular. However, in attempting to solve the mobility problems, the WAG process gives rise to other problems associated with increased water saturation in the reservoir including diminished gas injectivity and increased competition to the flow of oil. The low field performance of WAG floods with oil recoveries in the range of 5-10% is a clear indication of these problems. In order to find na effective alternative to WAG, the Gas Assisted Gravity Drainage (GAGD) was developed. This process is designed to take advantage of gravity force to allow vertical segregation between the injected CO2 and reservoir crude oil due to their density difference. This process consists of placing horizontal producers near the bottom of the pay zone and injecting gás through existing vertical wells in field. Homogeneous models were used in this work which can be extrapolated to commercial application for fields located in the Northeast of Brazil. The simulations were performed in a CMG simulator, the STARS 2007.11, where some parameters and their interactions were analyzed. The results have shown that the CO2 injection in GAGD process increased significantly the rate and the final recovery of oil