Fracture-injection/falloff sequences are routinely used as pre-frac well tests to estimate reservoir pressure and transmissibility, but the current interpretation methods are limited to analyzing specific and very small portions of the pressure falloff data. To remove the current limitations, new analytical fractureinjection/ falloff models are developed that account for fracture propagation, fracture closure, and after fracture closure diffusion. A fracture-injection/falloff differs from a conventional injection/falloff sequence in that pressure during the injection is sufficient to initiate and propagate a hydraulic fracture. By considering fracture propagation as time-dependent storage, three new models are presented for a fractureinjection/ falloff sequence in a well in an infinite slab reservoir with a single vertical fracture created during the injection and with variable fracture and wellbore storage as follows: • Equivalent propagating-fracture and before-fracture-closure storage with constant after-fractureclosure storage. • Time-dependent propagating-fracture storage, constant before-closure storage, and constant afterclosure storage. • Time-dependent propagating-fracture storage, constant before-closure storage with linear flow from the fracture, and constant wellbore storage and skin with after-closure radial flow. When a fracture-injection can be considered as occurring instantaneously, limiting-case solutions of the new fracture-injection/falloff models suggest the observed pressure difference can be integrated to generate an equivalent pressure difference if the rate were constant. Consequently, a fractureinjection/ falloff sequence can be analyzed with constant-rate, variable-storage type curves. The new fracture-injection/falloff theory is also extended to allow for a fracture-injection in a reservoir containing an existing conductive hydraulic fracture. The new multiple-fracture fracture-injection/falloff model forms the basis of a new refracture-candidate diagnostic test that uses characteristic variable-storage behavior to qualitatively diagnose a pre-existing fracture retaining residual width and to determine if a preexisting fracture is damaged. A quantitative analysis methodology is also proposed that uses a new pressure-transient solution for a well in an infinite-slab reservoir producing through multiple arbitrarilyoriented finite- or infinite-conductivity fractures.

[pt] O teste de injetividade é um procedimento que tem por objetivo extrair informações sobre um reservatório de petróleo a partir da injeção de um fluido (usualmente, água) no reservatório. Com base na resposta de pressão medida durante o tempo de teste, pode-se inferir uma série de características acerca do reservatório, tais como permeabilidade equivalente, condição de fronteira do reservatório e volume de óleo recuperável. O teste de injetividade é dividido em dois períodos: um de fluxo, durante o qual ocorre a injeção de água no reservatório; e o segundo de falloff, no qual o poço é fechado e o fluxo ao longo do reservatório cessa. Os modelos analíticos hoje existentes são capazes de descrever bem tanto o período de injeção quanto o de falloff apenas para reservatórios com uma camada. Nos reservatórios com múltiplas camadas, somente o período de injeção tem uma formulação conhecida. Portanto, esse trabalho tem como objetivo propor uma solução analítica para o período de falloff em reservatórios com múltiplas camadas. A precisão da solução proposta foi avaliada a partir da comparação com um simulador numérico de fluxo para uma série de casos. Os resultados mostraram boa concordância entre os dados numéricos e o modelo proposto. Além disso, os dados do falloff obtidos com a solução analítica foram usados para estimar a permeabilidade equivalente do reservatório. Os valores encontrados apresentaram precisão satisfatória para todos os casos. / [en] The injectivity test is a procedure used to collect information over a petroleum reservoir by injecting a fluid (commonly, water) into the reservoir. According to the pressure response measured during the test, several reservoir features might be inferred, such as equivalent permeability, outer boundary condition and recoverable oil volume. Injectivity test consists of two different stages: the flow period and the falloff period. During the former, occurs the water injection into the rock formation. The latter stage is marked by the well shut-in and, hence, a zero-flow pulse propagates along the reservoir. Over the past years, accomplishments have been made regarding the pressure behavior in multilayer reservoirs under single-phase flow and injectivity tests in single-layer reservoirs. However, an analytical solution for pressure behavior in multilayer reservoirs is well known just during the flow period. Therefore, this work attempts to develop an analytical model for the falloff period in multilayer reservoirs. The accuracy of the proposed solution was assessed by comparison with a finite difference flow simulator. Results showed a close agreement between the analytical model and numerical data. Moreover, falloff data obtained by the analytical solution was used to estimate the reservoir equivalent permeability. Calculated values presented a satisfactory accuracy for all cases.