Well logging provides a detailed record (through a well log) of the geologic formations (e.g., carbonate rock) penetrated by a borehole. It has been extensively used as a mapping technique for exploring and characterizing the subsurface and evaluating the hydrocarbon production potential of a reservoir, along with the identification of other properties of the formation. Well logging provides useful measurements that may be used to extract information about the rock formation related to, for example, porosity, lithology, potential presence of hydrocarbons, and pore-filling fluids. Measurement techniques are based on at least three broad physical aspects: electrical, acoustic (which includes sonic), and nuclear.
The first logging technique measured the electrical conductivity of a formation and used electrodes. The original induction electrical logging tool had a transmitter (magnetic dipole) and a receiver. The magnetic field from the transmitting dipole induced ground loop currents in the surrounding formation that gave rise to an alternating magnetic field that was sensitive to the formation conductivity. The induced alternating magnetic field was detected by the receiver and the conductivity of the formation through which the signal had passed could be determined. For instance, a reservoir formation filled with hydrocarbon could be recognized on a typical electrical log since it was more resistive than the salt water that was commonly found in deeply buried reservoir rocks. The first well log dates back to 1927, performed in the Pechelbronn field in Alsace, France. Since that time, research and engineering efforts have improved this technology to accommodate harsh well conditions and to investigate complex reservoir properties.
An acoustic or sonic logging tool transmits a sound pulse into the formation that is subsequently detected by a receiver. The speed at which the sound (i.e., acoustic wave) propagates through the formation depends at least in part on the formation's mineral composition and porosity. The measured travel time allows one to determine a sonic velocity that can be used to determine the porosity via the well-known Wyllie time-average relation.
Another logging tool designed for formation evaluation uses Gamma rays and neutrons to characterize the geological formation. The absorption of Gamma radiation is proportional to the density of the formation, while that of neutrons is proportional to the amount of hydrogen present. Gamma ray and neutron logs can be indicative of the porosity distribution.
Production logging tools include a variety of sensors that are used to identify the nature and behavior of fluids in or around the borehole during production. They provide useful information such as temperature, flow rates, and fluid capacitance/impedance. Surveys may be performed during production operations to evaluate the dynamic well performance (i.e., the productivity of different zones) and to diagnose possible well problems.
Logging while drilling (LWD) tools allow for detailed formation evaluation as the well is drilled. This allows one to maximize the reservoir value. LWD tool logs allow drilling engineers to make appropriate decisions for particular realized drilling circumstances and optimally direct the direction of the drill. Different measurements are available using LWD technology and their selection depends on the complexity associated with the mineralogy, texture, and open fractures within a target zone near the wellbore. The measurements tools may include Gamma ray tools, electrical resistivity propagation tools, acoustic/sonic logging tools, neutron porosity tools, and nuclear magnetic resonance (NMR) tools.
Acidization is used extensively in well stimulation operations to increase the permeability of carbonate rocks, thus facilitating the flow of oil to the wellbore. As acid is injected into the porous medium (carbonate rock), highly-permeable channels or “wormholes” are formed by the dissolution of carbonate material. A successful matrix treatment produces thin, but deep wormholes with a minimal amount of injected acid.
A logging tool is disposed in a wellbore during an acidizing operation. The logging tool may be, but is not limited to, an acoustic tool, a resistivity tool, a dielectric tool, a gamma ray tool, or a neutron tool. Measurements are made using the logging tool on a region of a formation penetrated by the wellbore and being subjected to the acidizing operation. A formation property is inferred at one or more depths of investigation within the region using the measurements, and acidizing operation management decisions are made based on the determined inferred property. The inferred property may also be simulated. A minimized difference between the inferred formation property and the corresponding simulated formation property is determined, and acidizing operation management decisions are made based on the determined difference. The inferred property may be acoustic velocity, conductivity peak observation time, near-to-far detector count ratio, or porosity. An acidizing operation management decision may be to maintain, increase, or decrease an acid injection rate.
This summary is provided to introduce a selection of concepts that are further described below in the detailed description. This summary is not intended to identify key or essential features of the claimed subject matter, nor is it intended to be used as an aid in limiting the scope of the claimed subject matter.
The present disclosure is best understood from the following detailed description when read with the accompanying figures. It is emphasized that, in accordance with the standard practice in the industry, various features are not drawn to scale. In fact, the dimensions of the various features may be arbitrarily increased or reduced for clarity of discussion. Embodiments are described with reference to the following figures. The same numbers are generally used throughout the figures to reference like features and components.
It is to be understood that the following disclosure provides many different embodiments, or examples, for implementing different features of various embodiments. Specific examples of components and arrangements are described below to simplify the present disclosure. These are, of course, merely examples and are not intended to be limiting. In addition, the present disclosure may repeat reference numerals and/or letters in the various examples. This repetition is for the purpose of simplicity and clarity and does not in itself dictate a relationship between the various embodiments and/or configurations discussed. Moreover, the formation of a first feature over or on a second feature in the description that follows may include embodiments in which the first and second features are formed in direct contact, and may also include embodiments in which additional features may be formed interposing the first and second features, such that the first and second features may not be in direct contact.
Some embodiments will now be described with reference to the figures. Like elements in the various figures may be referenced with like numbers for consistency. In the following description, numerous details are set forth to provide an understanding of various embodiments and/or features. However, it will be understood by those skilled in the art that some embodiments may be practiced without many of these details and that numerous variations or modifications from the described embodiments are possible. As used here, the terms “above” and “below”, “up” and “down”, “upper” and “lower”, “upwardly” and “downwardly”, and other like terms indicating relative positions above or below a given point or element are used in this description to more clearly describe certain embodiments. However, when applied to equipment and methods for use in wells that are deviated or horizontal, such terms may refer to a left to right, right to left, or diagonal relationship, as appropriate. It will also be understood that, although the terms first, second, etc. may be used herein to describe various elements, these elements should not be limited by these terms. These terms are used to distinguish one element from another.
The terminology used in the description herein is for the purpose of describing particular embodiments only and is not intended to be limiting. As used in the description and the appended claims, the singular forms “a”, “an” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will also be understood that the term “and/or” as used herein refers to and encompasses any and all possible combinations of one or more of the associated listed items. It will be further understood that the terms “includes,” “including,” “comprises,” and/or “comprising,” when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.
As used herein, the term “if” may be construed to mean “when” or “upon” or “in response to determining” or “in response to detecting,” depending on the context. Similarly, the phrase “if it is determined” or “if [a stated condition or event] is detected” may be construed to mean “upon determining” or “in response to determining” or “upon detecting [the stated condition or event]” or “in response to detecting [the stated condition or event],” depending on the context.
A system and method to monitor matrix acidizing or acidization is disclosed. Matrix acidizing facilitates oil flow from a formation to a drainage or production wellbore. Reservoir management decisions may be based on in-situ, real-time measurements of a reservoir formation (e.g., carbonate rock) undergoing acidization. In the embodiments described herein we specifically refer to carbonate rocks as the acidized formation, but other rock types may be treated in the same manner or in a similar manner adapted for a particular rock type. Logging tools such as that shown in
In one embodiment, a two-scale continuum model may be used to simulate the 3-D dissolution process of carbonate rocks. Various logging tools may be used to obtain measurements such as dynamic conductivity, neutron count ratios, and acoustic measurements. A Wyllie time-averaged equation may be used to evaluate, for example, variations in the acoustic wave propagation velocity resulting from the dynamic change in the porosity during the dissolution process. The acoustic measurements may yield insight into the type of acidizing regimen to use and to estimate the depth and speed of wormhole penetration. Real-time acoustic (or sonic) measurements may allow one to predict the optimal operating conditions for creating production-enhancing wormholes.
The two-scale continuum model describes the reactive transport of acid species at Darcy scale, but also captures the pore-scale physics. The Darcy scale model includes the equations that govern acid transport, continuity, chemical dissolution reaction, and porosity evolution. The pore-scale model has structure-property relations wherein Darcy scale properties such as permeability, pore radius, and solid-fluid interfacial area per unit volume are given as functions of the local porosity. The two-scale continuum model allows for the prediction of wormhole formation, whereby time-dependent wormhole creation correlates to porosity changes as a function of time.
The model thus determines porosity as a function of time. Using the instantaneous porosity, along with the treatment fluid properties, the model calculates an expected formation property (e.g., travel time, conductivity, and neutron near-to-far counting rate) (i.e., perform forward modeling). The measured and calculated property values may be compared in an inversion to optimize the input formation properties and acid injection rate (i.e., perform inversion modeling).
In
As acid is injected into the porous medium 204 (carbonate rock), highly-permeable channels (wormholes) 208 form as a result of the dissolution process, which is the manifestation of the acid-carbonate reaction. Experimental and numerical studies have shown a strong dependence of the dissolution patterns on the injection rate of acid. At low injection speeds, the acid is entirely spent before penetrating into the medium (due to flow expansion in transverse directions) and the whole face of the formation is dissolved (face dissolution). At very high injection speeds, the acid may penetrate deep into the formation, but the reaction to the acid takes place over a large region, yielding a uniform increase in the porosity (uniform dissolution).
where Q is the acid injection rate, TBT is the time taken to achieve breakthrough, V is the volume of the simulation formation cuboid, and Φ is the porosity. For both high and low acid injection rates, a large amount of acid is required to achieve breakthrough. PVBT reaches its approximate minimum over a wide range of intermediate values of injection rate. A flat curve is observed near the optimum-to-high rate region, while there is a steeper slope in the low-to-optimum rate region. This indicates that the optimum PVBT is more sensitive to a decrease in the injection rate than to an increase. Also shown are the ranges of acid injection rates that give rise to different acidizing regimes.
An optimal matrix treatment involves the production of thin wormholes with a small amount of injected acid so as to enhance the oil flow to the wellbore. Operating conditions and parameters such as the acid properties, the reaction kinetics and mass transfer, and the heterogeneity and properties (e.g., initial porosity, average pore radius, etc.) of the carbonate formation can affect the dissolution process and wormhole propagation. This makes the acidizing job challenging in the field. However, the acquisition of real-time information using logging technology adds a new dimension to acidizing operations. For instance, the velocity of the propagation of a wave or pulse generated by an acoustic transmitter is sensitive to the porosity of the formation. The variations of this velocity can be measured and derived from a sonic logging tool placed in the borehole during the acidizing operation, and useful information can be extracted on wormhole formation and propagation. This provides operators with a real-time indication of the progress of the acidizing process downhole. Thus, in one embodiment, a sonic logging tool has an acoustic transmitter for generating acoustic pulses and at least one receiver for detecting received waves. (While a sonic tool is sometimes restricted to acoustic waves in the range of 1 to 25 kHz, the tool is not limited to those frequencies herein, “acoustic” and “sonic” is used interchangeably, as they often are, to include the full range of detectable acoustic waves.) The tool is disposed in a borehole, thereby measuring the velocity of acoustic wave propagation in the formation, which can then be related to the formation porosity.
where Vmat is the velocity of wave propagation through the rock matrix, Vf is the corresponding velocity through the saturating fluid(s), and φ is the porosity. The plots shown in
As shown in
Simulation results showing wormhole formation and propagation resulting from the reactive dissolution process are illustrated in
Variations in the acoustic wave propagation velocity as derived for a sonic logging tool for different depths of investigation are plotted in
where N is the number of cells (including the cells that are not affected by the acidization) in the part of the formation sensed by the acoustic tool. A velocity decrease is initially observed as acid dissolves the rock matrix, and then it stabilizes to a steady-state value. This is expected since the solid matrix with a high sonic velocity is being replaced with water having a lower sonic velocity. The transient changes in the acoustic wave propagation velocity indicate wormhole formation and propagation is occurring.
Moreover, one can exploit the acoustic measurements retrieved from an array of receivers (placed at different distances from the transmitter) that provide different depths of investigation (as shown in
It is well known in chemistry that a combination of a weak acid and its salt forms a mixture, referred to as a “buffer” that tends to keep the conductivity and pH constant. This can be seen in
As the above would suggest, in an alternate embodiment, electrical logging tools may be used to enable real-time monitoring and control of matrix acidizing. In-situ, real-time conductivity measurements of a carbonate formation may be made while performing an acidizing operation. An electrical logging tool may be deployed using, for example, coiled tubing and allows one to monitor the changes in the conductivity of the formation undergoing acidization. The conductivity measurements can be interpreted to develop an acidizing regime and track the penetration length of wormholes. An operator can make “on the fly” adjustments to the planned acid regime (e.g., acid injection rate) to improve the efficiency of the treatment.
The concentrations of the different ionic species involved in the reactive dissolution of carbonates, along with the dynamic change in the porosity distribution, continuously affect the electrical resistivity. (It is well known that resistivity and conductivity are reciprocals, and both terms are used herein and elsewhere in an interchangeable, though reciprocal, manner when discussing this property.) As such, the variations of the resistivity during the acidizing operation can be measured and useful information can be extracted regarding wormhole formation and propagation.
Archie' s law serves as the basis to determine the porosity and saturation of the carbonate rock from resistivity measurements as follows:
where Rc is the resistivity of the rock, Rf is the resistivity of the fluid in the pores, φ is the porosity, Sw is the water saturation, and m and n are the Archie's empirical exponents. In the subsequent analysis, Sw is set equal to one. As an example, we consider the chemical reaction between hydrochloric acid and calcite given by:
2HCl+CaCO3→CaCl2+CO2+H2O (5)
Since the conductivities of the different species on the two sides of this reaction are not the same, as the reaction proceeds, the conductivity of the solution changes. At t=0, before the reaction starts, the conductivity of the solution is just the conductivity of the acid. At each point in time, if we know how much acid has been reacted (spent), from Eq. 5 we know how much reaction products have formed, and using the conductivity of the individual species in Eq. 5, it is possible to calculate the conductivity of the solution.
The variation of the resistivity of the solution with its concentration is shown in
The effect of varying the acid injection rate on the conductivity distribution over the domain resulting from the reactive dissolution process is illustrated in
where Ω is the volume of the formation under investigation, F is the response function, and N is the number of grid blocks within the volume Ω. At low injection rates (
Since electrical logging tools are run on coiled tubing that traverses the wellbore and can perform conductivity measurements at different instances while pumping acid, one may record the difference in the conductivity (rate of increase), σefft+1−σefft, between consecutive instances and track its time evolution, as shown in
Because the different regime identifiers can be correlated to different acid injection rates, one may optimize the acidization treatment while pumping acid. In one embodiment, an operator performs a “base logging pass” (1602) to determine the baseline properties (e.g., thermal) of the wellbore environment. The operator then injects a “pre-flush” fluid (1604) (e.g., a fluid of different conductivity than the reservoir fluid) and performs one or more logging passes (1606) to determine the injection profile (e.g., using a differential flow (DFLO) sensor and fiber optic distributed temperature sensor) as well as the depth of invasion of the fluid (e.g., using resistivity arrays). This provides a baseline log for determining where the fluids effectively permeate the formation, identifies “thief zones”, and helps in predicting the impact of acid injection during the stimulation phase. The obtained information, along with other input parameters such as formation geometry, wellbore geometry, formation properties (e.g., porosity, heterogeneity), and acid properties (as a function of acid injection rate) are provided to a predictive acidizing model (1620). One result of those calculations is a breakthrough curve similar to what is shown in
Acid is injected at the (numerically predicted) optimal rate (1630). A downhole resistivity tool tracks the rate of conductivity increase while the acid is being injected (1640). The operator monitors the time it takes to observe the first conductivity peak to determine whether this time is within a predefined time interval around the optimal ΔTpeak (1650). If the conductivity peak is observed earlier than expected, the operator alters operations as described below and shown in
The conductivity peak may be observed earlier than expected if, for example, the injection rate is higher than optimal (see, e.g.,
There are various alternative ways to determine the adjusted input parameters. In one embodiment, the parameters can be varied parametrically. These variations will produce different predicted conductivity peaks for the specific flow rates used. The predicted conductivity peaks will appear earlier or later than the observed time. It is possible to choose the set of parameters that provide a conductivity peak closest to the observed time. In another embodiment, the running of the predictive model with parametric variation of the input parameters is done before the acidization begins. In a further embodiment, the predictive model is used iteratively as part of an inversion routine that calculates the optimum input parameters that provide a match to the observed conductivity peak for the particular flow rate. In yet another embodiment, the input parameters from neighboring cases are interpolated to find the closest input parameters. As stated above and reiterated here, differences between measured or inferred formation properties and corresponding simulated properties can be minimized by iteratively adjusting simulation input parameters, and the minimized differences (and corresponding formation simulation input parameters) may be used as a basis for making acidizing operation management decisions.
If the elapsed time exceeds the expected ΔTpeak and a conductivity peak has not been observed, any further delays will likely cause non-optimal acidization. One possible response is to increase the acid injection rate by a factor ranging from 10 to 100 (1810) (depending on the numerically-predicted breakthrough curve as shown in
In a further embodiment, shown in
An operator can also use the injection profile in combination with “diverting” stages of treatment. The diversion stages act to bridge off at the wellbore wall, thereby diverting the reactive acid stage to other segments of the borehole. The utilization of the distributed temperature measurement and DFLO measurements to compute an injection profile, and the array electrical measurements, allows one to estimate the type and depth of wormhole stimulation.
In a further embodiment, the complete wellbore can be sealed with a degradable material (e.g., polymeric or other viscous fluid, or a solid or fiber suspension) prior to acid injection. Based upon model predictions, a selected interval of the seal can be removed by displacing a metered volume of fluid that accelerates the degradation of the sealing material. Non-limiting examples include heated water, solvents, alcohols, and surfactants that dissolve or otherwise accelerate local degradation of the plugging/sealing materials. The acid injection is then directed to the target zone(s) in the well. Once stimulated, a second diversion slug may be injected to plug off the recently stimulated interval, the plugging material selectively removed from a second interval, and the process repeated.
After acid stimulation, well productivity depends on the number, length, diameter, and distribution of wormholes along the wellbore. The morphology of the wormholes is controlled by the reaction kinetics, acid injection rate, rock lithology, and formation heterogeneity. Recall,
In an embodiment, a neutron porosity tool tracks the dynamic porosity change of the formation while acidizing and can be used to assist the acid stimulation operation. As described above, a two-scale continuum model may be used to simulate the acid reactive formation, and this may be combined with calibration curves that convert the measured near-to-far detector counting rate ratio from the neutron logging tool into porosity. The measurements may indicate the type of acidizing regime that is occurring during the acidization operation and can be used to estimate the depth and speed of wormhole penetration.
In-situ, real-time downhole measurements of a (carbonate) formation undergoing acidization operations may be performed using a neutron (porosity) logging tool. The tool is disposed in the borehole and used to detect the change in the hydrogen content in the formation (resulting from the acid reactive dissolution) through the ratio of the near-to-far detector count rate of low-energy neutrons. Changes and trends of variations of this count rate ratio can be interpreted to track the penetration of wormholes and to detect the treatment zones where the acidization may not be progressing in accordance with expectations.
Neutron logging tools allow one to infer porosity because of their large sensitivity to hydrogen. Neutron logging tools have a source of neutron radiation, which is usually a chemical source but can also be a non-radioactive pulse neutron generator (PNG). The tools also have one or more detectors that measure the neutrons scattered back from the formation. Emitted neutrons encounter nuclei in the formation and borehole and undergo various interactions such as elastic scattering and thermal absorption.
Elastic scattering constitutes the primary mechanism in which neutrons 2002 collide with isotopes 2004 (e.g., hydrogen) in such a way that the energy and momentum of the system are conserved (see
where E0 and E are the neutron energies before and after collision, respectively, and A is the mass of the neutron relative to that of the encountered isotope. For hydrogen, α is approximately zero, implying a 180° scattering angle wherein a large fraction of neutron momentum is transferred to the proton. This element is unique in its ability to reduce the colliding energy to “zero” in a single collision (in practice, from several MeV to about 0.4 eV, depending on the scattering angle) and thereby produce detectable neutrons. Hydrogen is present in the formations in the form of hydrocarbons, water, or acid (when the formation is undergoing acidization) that fills the pore space. This provides a correlation between the formation porosity and the neutron scattering.
Neutron logging tools 2006 comprise a source 2008 to emit neutrons at high energy (on the order of a few MeV) and near- and far-spacing detectors (2010, 2012, respectively) that are most sensitive to low-energy neutrons.
A parameter that controls the near-to-far detector count rate ratio of the neutron porosity tool is the formation “slowing-down length” Ls. Ls is proportional to the straight line distance that a neutron travels from the time it is emitted (from the source at high energy) to the time it attains a much lower energy.
The carbonate acidizing model described above may be used to simulate the wormhole process and show how measurements retrieved from neutron logging tools can correlate with the dynamic change of porosity resulting from wormhole creation and propagation in carbonate rocks. Simulation results showing snapshots of the wormhole formation and propagation resulting from the reactive dissolution process obtained at different stages of injecting acid from the inlet face are illustrated in the time sequence of
The transient variations in the near-to-far detector counting ratio as derived from a neutron logging tool are plotted in
In a typical acidizing operation, the optimum acid injection rate is not known a priori and the operator may start with his best guess for acid injection rate. An expected response for the neutron logging tool similar to
Specific embodiments using particular logging tools have been described in detail above. Other logging tools can be used. For example, a dielectric logging tool or a gamma ray logging tool may also be used. Dielectric logging tools produce a log of the high-frequency (e.g., on the order of 25 MHz) dielectric properties of the formation. The log includes two curves: the relative dielectric permittivity and the resistivity. A gamma ray logging tool produces a log of the total natural radioactivity. The depth of investigation is generally a few inches, so that the log normally measures the flushed zone. Shales and clays are responsible for most natural radioactivity, so the gamma ray log often is a good indicator of such rocks. However, other rocks are also radioactive, notably some carbonates and feldspar-rich rocks. Without repeating details described above, these and other logging tools may be incorporated into alternative embodiments in which their respective measurement or inference of a formation property is used to monitor matrix acidizing operations.
Some of the methods and processes described above, including processes, as listed above, can be performed by a processor. The term “processor” should not be construed to limit the embodiments disclosed herein to any particular device type or system. The processor may include a computer system. The computer system may also include a computer processor (e.g., a microprocessor, microcontroller, digital signal processor, or general purpose computer) for executing any of the methods and processes described above.
The computer system may further include a memory such as a semiconductor memory device (e.g., a RAM, ROM, PROM, EEPROM, or Flash-Programmable RAM), a magnetic memory device (e.g., a diskette or fixed disk), an optical memory device (e.g., a CD-ROM), a PC card (e.g., PCMCIA card), or other memory device.
Some of the methods and processes described above, as listed above, can be implemented as computer program logic for use with the computer processor. The computer program logic may be embodied in various forms, including a source code form or a computer executable form. Source code may include a series of computer program instructions in a variety of programming languages (e.g., an object code, an assembly language, or a high-level language such as C, C++, or JAVA). Such computer instructions can be stored in a non-transitory computer readable medium (e.g., memory) and executed by the computer processor. The computer instructions may be distributed in any form as a removable storage medium with accompanying printed or electronic documentation (e.g., shrink wrapped software), preloaded with a computer system (e.g., on system ROM or fixed disk), or distributed from a server or electronic bulletin board over a communication system (e.g., the Internet or World Wide Web).
Alternatively or additionally, the processor may include discrete electronic components coupled to a printed circuit board, integrated circuitry (e.g., Application Specific Integrated Circuits (ASIC)), and/or programmable logic devices (e.g., a Field Programmable Gate Arrays (FPGA)). Any of the methods and processes described above can be implemented using such logic devices.
While the embodiments described above particularly pertain to the oil and gas industry, this disclosure also contemplates and includes potential applications such as CO2 storage, underground water detection, geology, monitoring of water content (e.g., swage or landfill leak), environmental spill monitoring, and wherever a long-term monitoring tool for water- or oil-bearing material is required.
The foregoing outlines features of several embodiments so that those skilled in the art may better understand the aspects of the present disclosure. Those skilled in the art should appreciate that they may readily use the present disclosure as a basis for designing or modifying other processes and structures for carrying out the same purposes and/or achieving the same advantages of the embodiments introduced herein. Those skilled in the art should also realize that such equivalent constructions do not depart from the scope of the present disclosure, and that they may make various changes, substitutions, and alterations herein without departing from the scope of the present disclosure.
The Abstract at the end of this disclosure is provided to comply with 37 C.F.R. §1.72(b) to allow the reader to quickly ascertain the nature of the technical disclosure. It is submitted with the understanding that it will not be used to interpret or limit the scope or meaning of the claims.
While only certain embodiments have been set forth, alternatives and modifications will be apparent from the above description to those skilled in the art. These and other alternatives are considered equivalents and within the scope of this disclosure and the appended claims. Although only a few example embodiments have been described in detail above, those skilled in the art will readily appreciate that many modifications are possible in the example embodiments without materially departing from this invention. Accordingly, all such modifications are intended to be included within the scope of this disclosure as defined in the following claims. In the claims, means-plus-function clauses are intended to cover the structures described herein as performing the recited function and not only structural equivalents, but also equivalent structures. Thus, although a nail and a screw may not be structural equivalents in that a nail employs a cylindrical surface to secure wooden parts together, whereas a screw employs a helical surface, in the environment of fastening wooden parts, a nail and a screw may be equivalent structures. It is the express intention of the applicant not to invoke 35 U.S.C. §112, paragraph 6 for any limitations of any of the claims herein, except for those in which the claim expressly uses the words ‘means for’ together with an associated function.
This application claims, under 35 U.S.C. §119, priority to and the benefit of U.S. Provisional Patent Application No. 62/027,958, filed Jul. 23, 2014.
Number | Date | Country | |
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62027958 | Jul 2014 | US |