Application of Wavelet Transforms to Reservoir-Data Analysis and Scaling

Panda, Madhumita; Mosher, Charles C.; Chopra, Anil K.

doi:10.2118/60845-pa

Cited by 39 publications

(20 citation statements)

References 20 publications

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“…During the screening of production data analysis techniques (8)(9)(10)(11)(12)(13)(14)(15)(16)(17) , which can help derive useful information (interwell connectivity in particular), this method was chosen because of its ability to manage non-stationarity issues. This ability is very important in obtaining meaningful correlations for wells that were started at different dates and have considerable production and complex shut-in history.…”

Section: Wavelet Analysis Of Production Datamentioning

confidence: 99%

Development of Marginal/Mature Oil Fields: A Case Study of the Sinclair Field

Resnyanskiy

Babadagli

2010

Journal of Canadian Petroleum Technology

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Development of marginal/mature fields has become popular because of a significant decline in new field discoveries and high oil prices. In particular, small size fields of this kind are more challenging because of limited options for development. This paper presents a study on the Sinclair field located in Alberta, Canada. The field has 19 wells, six of which are horizontal, and have been in production for more than 20 years. Despite the quality of oil (40°API, 1.5 cp) and rock properties (20% average porosity, water-wet sandstone), the current production is less than 100 bbl/D for the whole field. The field is now undergoing waterflooding. The main challenges are the thin pay zone (~4 m), severe water production and a puzzling recovery factor of approximately 10%. The current study consists of three phases: numerical reservoir modelling and history match to understand the reasons for low oil production and to analyze the hydrodynamic characteristics of the field, characterization of reservoir and interwell connectivity using static and production data and proposing an enhanced oil recovery technique supported by field scale numerical simulation. After modelling and history matching stages, potential reserves locations are estimated for possible dilute surfactant injection. Based on interwell connectivity, different injection schemes that use some producers as injectors are tested. The obtained results are subject to further evaluation and analysis to derive the economic viability of the field.

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Section: Wavelet Analysis Of Production Datamentioning

confidence: 99%

Development of Marginal/Mature Oil Fields: A Case Study of the Sinclair Field

Resnyanskiy

Babadagli

2010

Journal of Canadian Petroleum Technology

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“…In addition to analyzing the seismic data which were one of the prime motivations for developing the WT, the applications also include numerical simulation of flow and transport equations [62], upscaling of a conductivity or permeability field [26,60,82], pressure transient analysis [5,25,28,47,87], upscaling of miscible displacements in heterogeneous porous media [27], reservoir characterization [11,55,59,63,66], identification of the fracture density along wells in oil and gas reservoirs [81], as well as problems involving turbulent transport and chemical reactions in the atmosphere [38]; for a recent review, see [78,80].…”

Section: Wavelet Scale Up Of the Single-phase Permeabilitiesmentioning

confidence: 99%

Upscaling of the permeability by multiscale wavelet transformations and simulation of multiphase flows in heterogeneous porous media

Rasaei

Sahimi

2008

Comput Geosci

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We describe a new approach for simulation of multiphase flows through heterogeneous porous media, such as oil reservoirs. The method, which is based on the wavelet transformation of the spatial distribution of the single-phase permeabilities, incorporates in the upscaled computational grid all the relevant data on the permeability, porosity, and other important properties of a porous medium at all the length scales. The upscaling method generates a nonuniform computational grid which preserves the resolved structure of the geological model in the near-well zones as well as in the high-permeability sectors and upscales the rest of the geological model. As such, the method is a multiscale one that preserves all the important information across all the relevant length scales. Using a robust front-detection method which eliminates the numerical dispersion by a high-order total variation diminishing method (suitable for the type of nonuniform upscaled grid that we generate), we obtain highly accurate results with a greatly reduced computational cost. The speedup in the computations is up to over three orders of magnitude, depending on the degree of heterogeneity of the model. To demonstrate the accuracy and efficiency of our methods, five distinct models (including one with fractures) of heterogeneous porous media are considered, and two-phase flows in the models are studied, with and without the capillary pressure.

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“…This approach helps to address the nonuniqueness associated with nonlinear parameter estimation and estimates only the reservoir parameters that are truly constrained by the data. Other applications of wavelet transforms in the field of petroleum engineering include the use of wavelet transform as basis function in the solution of two-phase-flow problems (Moridis et al 1998), in upscaling of rock properties (Chu et al 1995(Chu et al , 1996, in reservoir data analysis and scaling (Panda et al 2000(Panda et al , 2001, in describing interwell relationships from production data (Jansen and Kelkar 1997), and in improving the computational performance of kriging systems (Yunowo et al 2005).…”

Section: Introductionmentioning

confidence: 99%

A Multiresolution Analysis of the Relationship Between Spatial Distribution of Reservoir Parameters and Time Distribution of Well-Test Data

Awotunde

Horne

2011

SPE Reservoir Evaluation &Amp; Engineering

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With recent advances in permanent downhole technology, well-test analysts now have to deal with enormous amounts of data. Using these data requires the development of efficient algorithms that are able to extract the relevant information from the data at minimal cost. We present a multiresolution wavelet approach to estimate the spatial distribution of reservoir parameters, by performing the nonlinear least-squares regression in the wavelet domains of both time and space. Wavelet transforms have the ability to reveal important events in time signals or spatial images. Thus, we transformed both the model space and the time-series pressure data into spatial wavelet and time wavelet domains, respectively, and used a thresholding to select a subset of wavelet coefficients from each of the transformed domains. These subsets were used subsequently in nonlinear regression to estimate the appropriate description of reservoir parameters. The appropriate subset is not only smaller; the problem is also reduced to the consideration of only the important components of the measured data and only the part of the reservoir description that depends on them.As a test of the approach, we first applied the model to well-test problems involving 1D (radially composite) reservoir systems. The inverse problem was solved to estimate the distributed permeability values by performing the nonlinear least-squares regression in the wavelet domains (time and space).Results obtained were compared with those obtained from the conventional nonlinear-regression approach, using all the pressure-time data and the full set of spatial reservoir parameters. The time/space wavelet approach proved to be efficient. By reducing the dimensions of the model and data spaces, the approach eliminates redundancy in the reservoir description and in the data set. Significantly, the approach reveals the true number of reservoir parameters that can be appropriately estimated from a given data set and also reveals which components of the full data set are active in constraining the reservoir model. Thus, the approach provides a good means to integrate different data properly while avoiding the inclusion of irrelevant data during nonlinear regression.

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Application of Wavelet Transforms to Reservoir-Data Analysis and Scaling

Cited by 39 publications

References 20 publications

Development of Marginal/Mature Oil Fields: A Case Study of the Sinclair Field

Development of Marginal/Mature Oil Fields: A Case Study of the Sinclair Field

Upscaling of the permeability by multiscale wavelet transformations and simulation of multiphase flows in heterogeneous porous media

A Multiresolution Analysis of the Relationship Between Spatial Distribution of Reservoir Parameters and Time Distribution of Well-Test Data

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