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184  4 Enhancing Geothermal Reservoirs
                               minimum horizontal including the thermoelastic stress, a fracture can propagate
                               from the wellbore.
                                 Various numerical models have been developed to explain and predict thermally
                               induced fracturing in sedimentary rocks. A numerical model to calculate the
                               change in horizontal stress resulting from a change in temperature across a region
                               of elliptical cross section and finite thickness has been developed by Perkins and
                               Gonzales (1985) simulating the thermoelastic processes associated to the injection
                               of cold fluids during waterflooding. Conditions, under which secondary fractures
                               perpendicular to the primary main fracture may open, are also discussed. In fact,
                               these considerations explain, how a line crack, representing a two wing vertical
                               hydraulic fracture might gradually evolve into a fracture network of elliptical
                               geometry, confocal with the line crack, by injection of cold fluid. Gadde and
                               Sharma (2001) further refine the Perkins and Gonzales model also including
                               fracture growth in injection wells due to particle plugging, thermal, and pore
                               pressure effects.

                               4.5.3
                               Chemical Stimulation

                               Matrix acidizing treatments are designed to remove or bypass solid flow obstruc-
                               tions (damage material) from the wellbore or from the reservoir in the vicinity of the
                               wellbore by injecting fluids of low pH into the wells. There are two main stimulation
                               techniques: matrix stimulation and fracturing. Matrix stimulation is accomplished,
                               in sandstones, by injecting a fluid (e.g., acid or solvent) to dissolve and/or disperse
                               materials that impair well production. In carbonate formations, the goal of matrix
                               stimulation is to create new, unimpaired flow channels from the formation to the
                               wellbore. Matrix stimulation, typically called matrix acidizing when the stimulation
                               fluid is an acid, generally is used to treat only the near-wellbore region. In a matrix
                               acidizing treatment, the acid used is injected at a pressure low enough to prevent
                               formation fracturing (Economides and Nolte, 1989). Very often carbonates show
                               low matrix permeability and just creating wormholes in the near-wellbore area may
                               not be sufficient to produce the reservoir economically. Fracture acidizing is the
                               technique that is being used to achieve the task of providing a conductive path
                               deeper into the formation (Burgos et al., 2005).
                                 Matrix acidizing is one of the oldest well-stimulation techniques used to remove
                               damage near the wellbore. It was initially applied in carbonate reservoirs and
                               over the years it has been extended to more complex mineralogies. So far, matrix
                               acidizing is often considered by many people as risky to undertake, primarily due
                               to the heterogeneous nature of formation minerals and an appreciable degree of
                               unpredictability of their response to acid formulations. However, it is a relatively
                               simple stimulation technique that has became one of the most cost-effective method
                               to improve significantly the well productivity and/or injectivity.
                                 In sandstone formations, matrix acidizing may enhance significantly the well
                               performance by removing the near-wellbore damage, primarily associated with
                               plugging of pores by siliceous particles as the consequence of drilling, completion,
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