Disclosure of Invention
In view of the above, the present invention is directed to a gas solubility measurement device to improve the accuracy of prediction of the dissolution and sequestration potential of carbon dioxide in a formation.
In order to achieve the above object, the present invention provides the following technical solutions:
a gas solubility measurement device comprising:
The gas source comprises helium and gas to be detected, and the internal volume of the first cavity is V R;
A second cavity in communication with the first cavity;
the first valve can control the on-off of the first cavity and the second cavity;
A first vacuum pump in communication with the first cavity;
A second vacuum pump in communication with the second cavity;
A first pressure sensor for detecting a gas pressure of the first chamber;
A second pressure sensor for detecting a gas pressure of the second chamber; and
Balance capable of weighing rock samples.
Preferably, in the above gas solubility measuring device, the gas solubility measuring device further comprises a temperature adjusting tank capable of adjusting temperature, and the first cavity and the second cavity are both located in the temperature adjusting tank.
Preferably, in the above gas solubility measuring device, the device further comprises a helium gas high-pressure cylinder communicating with the first cavity, and a first pressure regulating valve provided on a communicating pipe between the helium gas high-pressure cylinder and the first cavity.
Preferably, in the above gas solubility measuring device, the device further comprises a first gas supply flow meter provided on a communication line between the helium high-pressure gas cylinder and the first chamber.
Preferably, in the above gas solubility measuring device, the device further comprises a gas cylinder to be measured communicating with the second cavity, and a second pressure regulating valve provided on a communicating pipe between the gas cylinder to be measured and the first cavity.
Preferably, in the above gas solubility measuring device, the gas solubility measuring device further includes a second gas supply flow meter provided on a communication pipe between the gas cylinder to be measured and the first chamber.
Preferably, in the above gas solubility measuring device, a second valve is provided on a communication pipe between the first vacuum pump and the first chamber, and a third valve is provided on a communication pipe between the second vacuum pump and the second chamber.
Preferably, in the above gas solubility measurement device, a data acquisition element is further included, and the data acquisition element is electrically connected to the first pressure sensor and the second pressure sensor.
Preferably, in the above gas solubility measuring device, the device further comprises a recovery gas cylinder communicating with the second chamber, and a fourth valve provided between the recovery gas cylinder and the second chamber.
A gas sequestration potential prediction system comprising a gas solubility measurement device according to any one of the preceding claims.
A gas solubility measuring method, using the gas solubility measuring device according to any one of the above, comprising the steps of:
S1: measuring the water content of the rock sample by a balance, and placing the water-containing rock sample into the second cavity;
S2: vacuumizing the first cavity through the first vacuum pump, vacuumizing the second cavity through the second vacuum pump, opening the first valve, and conducting the first cavity with helium;
S3: when the pressure of the first cavity detected by the first pressure sensor and the pressure of the second cavity detected by the second pressure sensor are both a first preset pressure value P 1, closing the first valve;
S4: continuing to charge helium into the first cavity until the indication of the first pressure sensor shows that the second preset pressure value P 2(P2 is larger than P 1), and stopping charging helium into the first cavity;
s5: opening a first valve to enable the first cavity and the second cavity to be communicated;
S6: when the readings of the first pressure sensor and the second pressure sensor are consistent, recording that the readings of the first pressure sensor and the second pressure sensor are P 3 at the moment;
s7: from the formula Calculating the free space volume V void of the second cavity after the water-containing rock sample is put in, wherein ρ 1、ρ2、ρ3 is the helium density corresponding to the helium gas at the first preset pressure value P 1, the second preset pressure value P 2 and the third preset pressure value P 3 respectively;
S8: vacuumizing the first cavity through a first vacuum pump, vacuumizing the second cavity through a second vacuum pump, and then closing the first valve;
S9: the first cavity is communicated with the gas to be detected until the indication number of the first pressure sensor gradually rises from 0MPa to a fourth preset pressure value P 4;
S10: opening the first valve to enable the first cavity and the second cavity to be conducted until the indication number of the first pressure sensor is consistent with the indication number of the second pressure sensor, and recording the indication number as a fifth preset pressure value P 5;
s11: from the formula Calculating the quantity of substances of the gas to be detected entering the second cavity from the first cavity, wherein ρ 4 and ρ 5 are the densities of the gas to be detected corresponding to the fourth preset pressure value P 4 and the fifth preset pressure value P 5 respectively;
s12: from the following components Calculating the quantity n CO2,g of the substances of the gas to be detected except the rock sample in the second cavity;
S13: from the following components Calculating the quantity n CO2,l of the dissolved substances of the gas to be detected in the rock sample;
S14: from the following components And calculating the solubility S of the gas to be measured.
Preferably, in the above-mentioned gas solubility measurement method, step S02 is further included before the step S2: and regulating the temperature of the first cavity and the second cavity to be the preset stratum temperature T through the temperature regulating groove.
A method of predicting the sequestration potential of a gas comprising the method of measuring the solubility of a gas as defined in any one of the above.
When the gas solubility measuring device provided by the invention is used, the mass difference value of the rock sample before and after water content is measured through a balance, so that the water content m w of the rock sample is obtained; then placing the water-containing rock sample into a second cavity, vacuumizing the first cavity through a first vacuum pump, and vacuumizing the second cavity through a second vacuum pump; then the first valve is opened, after the first cavity and the second cavity are in a conducting state, the first cavity is conducted with helium, the helium is slowly filled into the first cavity and the second cavity communicated with the first cavity, and when the indication numbers of the first pressure sensor and the second pressure sensor are displayed as a first preset pressure value P 1, the first valve is closed, so that the first cavity and the second cavity are in a cut-off state; continuing to charge helium into the first cavity until the indication of the first pressure sensor shows that the second preset pressure value P 2(P2 is larger than P 1), and stopping charging helium into the first cavity; at this time, the first valve is opened to conduct the first cavity and the second cavity, since the second preset pressure value P 2 is greater than the first preset pressure value P 1, the helium gas in the first cavity gradually flows into the second cavity until the pressures in the first cavity and the second cavity are balanced, at this time, the indication numbers of the first pressure sensor and the second pressure sensor are consistent and are all recorded as a third preset pressure value P 3, the helium gas density corresponding to the first preset pressure value P 1, the second preset pressure value P 2 and the third preset pressure value P 3 is ρ 1、ρ2、ρ3 respectively, and since the internal volume of the first cavity is V R, the indication numbers of the first pressure sensor and the second pressure sensor are all recorded as a third preset pressure value P 3, the helium gas density corresponding to the first preset pressure value P 2 and the third preset pressure value P 3 is ρ 1、ρ2、ρ3 respectively, and the internal volume of the first cavity is V R, therefore expressed by the formulaThe free space volume V void of the second cavity after the water-containing rock sample is put in can be calculated; after the free space volume V void of the second cavity after the water-containing rock sample is placed in the second cavity is calculated, vacuumizing the first cavity through a first vacuum pump, vacuumizing the second cavity through a second vacuum pump, closing a first valve to enable the first cavity and the second cavity to be in a cut-off state, conducting the first cavity and the gas to be detected, slowly filling the gas to be detected into the first cavity, and gradually increasing the indication number of a first pressure sensor from 0MPa to a fourth preset pressure value P 4; then stopping filling the gas to be tested into the first cavity, opening the first valve to enable the first cavity and the second cavity to be conducted, gradually enabling the gas to be tested in the first cavity to flow into the second cavity until the indication number of the first pressure sensor is consistent with the indication number of the second pressure sensor, and recording the indication number as a fifth preset pressure value P 5, and referring to the corresponding densities of the gas to be tested when the fourth preset pressure value P 4 and the fifth preset pressure value P 5 are rho 4 and rho 5 respectively, wherein the gas to be tested is represented by the formulaCan calculate the amount of the substance of the gas to be measured entering the second cavity from the first cavity (wherein V R is the internal volume of the first cavity, N A is the Avwhereabouts constant, M CO2 is the molar mass of the gas to be measured), i.e. the total amount of the substance of the gas to be measured in the second cavity N CO2, is calculated byCan calculate the quantity n CO2,g of the substances of the gas to be measured except the rock sample in the second cavity, and is composed ofThe amount n CO2,l of the dissolved substances of the gas to be detected in the rock sample can be calculated, and finally the solubility of the gas to be detected is obtainedTherefore, the gas solubility measuring device provided by the invention can measure the solubility of the gas to be measured in the water-containing rock sample, and when the gas to be measured is carbon dioxide gas, the gas solubility measuring device measures the solubility of carbon dioxide in the water-containing rock sample, and when the dissolution and sealing quantity of the carbon dioxide in the stratum is predicted, the solubility is combined with the average water content of the stratum rock, so that the error of the carbon dioxide in the stratum sealing potential prediction can be reduced, and the accuracy of the carbon dioxide dissolution and sealing potential prediction in the stratum is improved.
Detailed Description
In view of the above, the core of the present invention is to provide a gas solubility measurement device to improve the accuracy of prediction of the dissolution sequestration potential of carbon dioxide in a formation.
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
As shown in fig. 1, an embodiment of the present invention discloses a gas solubility measuring apparatus, which includes a first chamber 100, a second chamber 200, a first valve 300, a first vacuum pump 400, a second vacuum pump 500, a first pressure sensor 600, a second pressure sensor 700, and a balance 800.
The first cavity 100 can be communicated with a gas source, the gas source comprises helium and gas to be detected, and the internal volume of the first cavity 100 is V R; the second cavity 200 communicates with the first cavity 100; the first valve 300 can control the on-off of the first and second cavities 100 and 200; the first vacuum pump 400 communicates with the first chamber 100; the second vacuum pump 500 communicates with the second chamber 200; the first pressure sensor 600 is used to detect the gas pressure of the first chamber 100; the second pressure sensor 700 is used for detecting the gas pressure of the second chamber 200; balance 800 is capable of weighing rock samples.
When the gas solubility measuring device provided by the invention is used, the mass difference value of the rock sample before and after water content is measured through the balance 800, so that the water content m w of the rock sample is obtained; then placing the water-containing rock sample into the second cavity 200, vacuumizing the first cavity 100 through the first vacuum pump 400, and vacuumizing the second cavity 200 through the second vacuum pump 500; then the first valve 300 is opened, after the first cavity 100 and the second cavity 200 are in a conducting state, the first cavity 100 is conducted with helium, the helium is slowly filled into the first cavity 100 and the second cavity 200 communicated with the first cavity 100, and when the indication numbers of the first pressure sensor 600 and the second pressure sensor 700 are displayed as a first preset pressure value P 1, the first valve 300 is closed, so that the first cavity 100 and the second cavity 200 are in a cut-off state; Continuing to charge helium into the first cavity 100 until the indication of the first pressure sensor 600 shows that the second preset pressure value P 2(P2 is greater than P 1), stopping charging helium into the first cavity 100; at this time, the first valve 300 is opened to allow the first and second chambers 100 and 200 to be conducted, and since the second preset pressure value P 2 is greater than the first preset pressure value P 1, helium gas in the first chamber 100 gradually flows into the second chamber 200 until the pressures in the first and second chambers 100 and 200 are equalized, at which time the readings of the first and second pressure sensors 600 and 700 are identical, All are marked as a third preset pressure value P 3, the density of the helium corresponding to the first preset pressure value P 1, the second preset pressure value P 2 and the third preset pressure value P 3 is referred to as rho 1、ρ2、ρ3 respectively, since the internal volume of the first chamber 100 is V R, the following formula is adoptedThe free space volume V void after the aqueous rock sample is placed in the second cavity 200 can be calculated; after the free space volume V void of the second cavity 200 after the water-containing rock sample is placed is calculated, vacuumizing the first cavity 100 through the first vacuum pump 400, vacuumizing the second cavity 200 through the second vacuum pump 500, closing the first valve 300 to enable the first cavity 100 and the second cavity 200 to be in a cut-off state, conducting the first cavity 100 with the gas to be detected, slowly filling the gas to be detected into the first cavity 100, and gradually increasing the indication number of the first pressure sensor 600 from 0MPa to a fourth preset pressure value P 4; then stopping filling the first cavity 100 with the gas to be measured, opening the first valve 300 to conduct the first cavity 100 and the second cavity 200, gradually flowing the gas to be measured in the first cavity 100 into the second cavity 200 until the number of the first pressure sensor 600 and the number of the second pressure sensor 700 are consistent, and recording the number as a fifth preset pressure value P 5, and referring to the densities of the gas to be measured corresponding to the fourth preset pressure value P 4 and the fifth preset pressure value P 5 as ρ 4 and ρ 5 respectively according to the formulaCan calculate the amount of the substance of the gas to be measured entering the second chamber 200 from the first chamber 100 (wherein V R is the internal volume of the first chamber 100, N A is the Avgalileo constant, M CO2 is the molar mass of the gas to be measured), i.e. the total amount of the substance of the gas to be measured N CO2 in the second chamber 200, is calculated byCan calculate the amount n CO2,g of the substances of the gas to be measured other than the rock sample in the second cavity 200, consisting ofThe amount n CO2,l of the dissolved substances of the gas to be detected in the rock sample can be calculated, and finally the solubility of the gas to be detected is obtainedTherefore, the gas solubility measuring device provided by the invention can measure the solubility of the gas to be measured in the water-containing rock sample, and when the gas to be measured is carbon dioxide gas, the gas solubility measuring device measures the solubility of carbon dioxide in the water-containing rock sample, and when the dissolution and sealing quantity of the carbon dioxide in the stratum is predicted, the solubility is combined with the average water content of the stratum rock, so that the error of the carbon dioxide in the stratum sealing potential prediction can be reduced, and the accuracy of the carbon dioxide dissolution and sealing potential prediction in the stratum is improved.
Specifically, when the water content m w of the rock sample is calculated, firstly, drying and degassing treatment is carried out on the rock sample, and the rock sample is weighed by adopting a balance 800, wherein the mass is m 0; carrying out water saturation treatment on the dry rock sample to obtain a water-containing rock sample, weighing the water-containing rock sample by adopting a balance 800, wherein the mass of the water-containing rock sample is m 1; the water content m w of the rock sample is calculated according to formula m w=m1-m0.
It should be noted that, the internal volume V R of the first cavity 100 may be obtained by an inflation method, a water filling method, a geometric calculation method, or the like, and any method that can obtain the internal volume V R of the first cavity 100 is within the scope of the present invention.
In addition, the gas to be measured may be, but not limited to, carbon dioxide, hydrogen, oxygen, or other types, and in practical application, the type of the gas to be measured may be adaptively modified according to practical requirements, so long as the gas to be measured can meet the use requirements.
Moreover, the densities of helium corresponding to the helium in the first preset pressure value P 1, the second preset pressure value P 2 and the third preset pressure value P 3 are ρ 1、ρ2、ρ3 respectively, and the densities of the gas to be detected in the fourth preset pressure value P 4 and the fifth preset pressure value P 5 are ρ 4 and ρ 5 respectively, which can be directly referred to in physical parameter software of the types NIST CHEMISTRY WEBBOOK or refprop (fully referred to as REFERENCE FLUID PROPERTIES) and the like, and the invention does not relate to the improvement of the reference method of ρ 1、ρ2、ρ3、ρ4 and ρ 5.
Further, the gas solubility measuring device further comprises a temperature adjusting groove 900 capable of adjusting temperature, the first cavity 100 and the second cavity 200 are arranged in the temperature adjusting groove 900, so that the temperature of the first cavity 100 and the temperature of the second cavity 200 can be adjusted through the temperature adjusting groove 900, the temperature of the first cavity 100 and the temperature of the second cavity 200 can be adjusted to a preset stratum temperature T, and the accuracy of predicting the dissolution and sequestration potential of carbon dioxide in the stratum is further improved.
As shown in fig. 1, the gas solubility measuring device provided by the present invention further includes a helium high-pressure gas bottle 101 that is connected to the first cavity 100, and a first pressure regulating valve 102 that is disposed on a connection pipe between the helium high-pressure gas bottle 101 and the first cavity 100, so that helium is filled into the first cavity 100 through the helium high-pressure gas bottle 101, and the pressure of the helium is regulated to a required pressure value through the first pressure regulating valve 102.
And, the gas solubility measuring apparatus further includes a first gas supply flow meter 103 provided on a communication pipe between the helium gas high-pressure gas cylinder 101 and the first chamber 100 so that a flow rate of helium gas outputted from the helium gas high-pressure gas cylinder 101 is detected by the first gas supply flow meter 103.
In addition, the gas solubility measuring device provided by the invention further comprises a high-pressure gas cylinder 201 to be measured, which is communicated with the second cavity 200, and a second pressure regulating valve 202, which is arranged on a communicating pipeline between the high-pressure gas cylinder 201 to be measured and the first cavity 100, so that the gas to be measured is introduced into the first cavity 100 through the high-pressure gas cylinder 201 to be measured, and the pressure of the gas to be measured is regulated to a required pressure value through the second pressure regulating valve 202.
The gas solubility measuring apparatus further includes a second gas supply flow meter 203 provided on a communication pipe between the gas cylinder 201 to be measured and the first chamber 100, so that the flow rate of the gas to be measured output from the gas cylinder 201 to be measured is detected by the second gas supply flow meter 203.
Further, a second valve 401 is disposed on a communication pipeline between the first vacuum pump 400 and the first cavity 100, so as to control on-off between the first vacuum pump 400 and the first cavity 100 through the second valve 401, a third valve 501 is disposed on a communication pipeline between the second vacuum pump 500 and the second cavity 200, and on-off between the second vacuum pump 500 and the second cavity 200 is controlled through the third valve 501.
The gas solubility measuring device provided by the invention further comprises a data acquisition element 1000, wherein the data acquisition element 1000 is electrically connected with the first pressure sensor 600 and the second pressure sensor 700, so that the pressure values detected by the first pressure sensor 600 and the second pressure sensor 700 are received and read through the data acquisition element 1000, and the pressure values detected by the first pressure sensor 600 and the second pressure sensor 700 are output through the data acquisition element 1000.
And, this gas solubility measuring device still includes the recovery gas cylinder 204 that communicates with second cavity 200 to and set up fourth valve 205 between recovery gas cylinder 204 and second cavity 200, in order to retrieve the unnecessary gas in the measurement process through recovery gas cylinder 204, reduce environmental pollution, control the break-make between recovery gas cylinder 204 and the second cavity 200 through fourth valve 205.
In addition, the invention also discloses a gas sequestration potential prediction system, which comprises the gas solubility measurement device according to any one of the above, so that all the technical effects of the gas solubility measurement device are achieved, and the gas sequestration potential prediction system is not described in detail herein.
As shown in fig. 2, the invention also discloses a method for measuring gas solubility, which is applied to the device for measuring gas solubility according to any one of the above, and comprises the following steps:
S1: the water content of the rock sample is measured by the balance 800 and the water-containing rock sample is placed in the second chamber 200 in order to measure the solubility of the gas to be measured in the water-containing rock sample in the second chamber 200.
S2: the first vacuum pump 400 is used for vacuumizing the first cavity 100, the second vacuum pump 500 is used for vacuumizing the second cavity 200, the first valve 300 is opened, and the first cavity 100 is communicated with helium gas, so that the first cavity 100 and the second cavity 200 are vacuumized, and the accuracy of solubility measurement is prevented from being influenced by redundant gas.
S3: when the pressure of the first cavity 100 detected by the first pressure sensor 600 and the pressure of the second cavity 200 detected by the second pressure sensor 700 are both the first preset pressure value P 1, the first valve 300 is closed so as to make the first cavity 100 and the second cavity 200 in a cut-off state, and helium gas can only fill the first cavity 100.
S4: continuing to charge the first chamber 100 with helium until the indication of the first pressure sensor 600 indicates that the second preset pressure value P 2(P2 is greater than P 1), stopping charging the first chamber 100 with helium so that the second preset pressure value P 2 is greater than the first preset pressure value P 1, and opening the first valve 300 to allow helium in the first chamber 100 to flow into the second chamber 200.
S5: the first valve 300 is opened so that the first chamber 100 and the second chamber 200 are communicated so that a part of helium gas of the first chamber 100 enters the second chamber 200 until the pressures of the first chamber 100 and the second chamber 200 are balanced.
S6: when the readings of the first pressure sensor 600 and the second pressure sensor 700 are consistent, the readings of the first pressure sensor 600 and the second pressure sensor 700 are recorded as P 3 at the moment, so that the free space volume V void in the second cavity 200 is calculated.
S7: from the formulaThe free space volume V void of the second chamber 200 after the aqueous rock sample is placed therein is calculated, wherein ρ 1、ρ2、ρ3 is the helium density corresponding to the helium gas at the first preset pressure value P 1, the second preset pressure value P 2 and the third preset pressure value P 3, respectively, so as to provide for the subsequent calculation of the solubility S of the gas to be measured.
S8: the first chamber 100 is vacuumized by the first vacuum pump 400, the second chamber 200 is vacuumized by the second vacuum pump 500, and then the first valve 300 is closed so as to vacuumize the first chamber 100 and the second chamber 200, thereby preventing the accuracy of the solubility measurement from being affected by redundant gas.
S9: the first chamber 100 is conducted with the gas to be measured until the indication number of the first pressure sensor 600 gradually rises from 0MPa to a fourth preset pressure value P 4, so that after the first valve 300 is opened, the gas to be measured in the first chamber 100 enters the second chamber 200.
S10: the first valve 300 is opened to conduct the first and second chambers 100 and 200 until the readings of the first and second pressure sensors 600 and 700 are the same, which are both denoted as a fifth preset pressure value P 5, so as to facilitate filling the hole of the rock sample with the gas to be measured.
S11: from the formulaThe amount of the substance of the gas to be measured entering the second chamber 200 from the first chamber 100, that is, the total amount n CO2 of the substance of the gas to be measured entering the second chamber 200 is calculated, wherein ρ 4 and ρ 5 are the densities of the gas to be measured corresponding to the fourth preset pressure value P 4 and the fifth preset pressure value P 5, respectively.
S12: from the following componentsThe amount n CO2,g of the substance of the gas to be measured outside the rock sample in the second chamber 200 is calculated in order to prepare for the subsequent calculation of the amount n CO2,l of the dissolved substance of the gas to be measured in the rock sample.
S13: from the following componentsThe amount n CO2,l of dissolved substances of the gas to be measured in the rock sample is calculated in order to calculate the solubility of the gas to be measured in the rock sample.
S14: from the following componentsAnd calculating the solubility S of the gas to be detected so as to improve the accuracy of the prediction of the dissolution and sequestration potential of the carbon dioxide in the stratum.
Therefore, the method for measuring the solubility of the gas to be measured in the water-containing rock sample can measure the solubility of the gas to be measured in the water-containing rock sample, and when the gas to be measured is the carbon dioxide gas, the method for measuring the solubility of the gas to be measured is used for measuring the solubility of the carbon dioxide in the water-containing rock sample, and when the dissolution and sealing quantity of the carbon dioxide in a stratum is predicted, the solubility is combined with the average water content of the stratum rock, so that the error of the carbon dioxide in the stratum sealing potential prediction can be reduced, and the accuracy of the dissolution and sealing potential prediction of the carbon dioxide in the stratum is improved.
It should be understood that the densities of helium corresponding to the first preset pressure value P 1, the second preset pressure value P 2 and the third preset pressure value P 3 are ρ 1、ρ2、ρ3 respectively, and the densities of the gas to be measured corresponding to the fourth preset pressure value P 4 and the fifth preset pressure value P 5 are ρ 4 and ρ 5 respectively, which can be directly referred to in physical parameter software of the types NIST CHEMISTRY WEBBOOK or refprop (fully referred to as REFERENCE FLUID PROPERTIES) and the like, and the reference method of ρ 1、ρ2、ρ3、ρ4 and ρ 5 is not involved in the present invention.
Likewise, the method for measuring the solubility of the gas provided by the invention can be used for measuring the solubility of the carbon dioxide in the water-containing rock sample, and also can be used for measuring the solubility of the gases such as hydrogen or oxygen in the water-containing rock sample, and the method for measuring the solubility of the gas is not particularly limited to the type of the gas to be measured.
Further, the gas solubility measurement method further includes step S02, which is located before step S2: the temperature of the first cavity 100 and the second cavity 200 is adjusted to the preset formation temperature T through the temperature adjusting groove 900, so that the temperature of the first cavity 100 and the second cavity 200 is adjusted to the preset formation temperature T, and the accuracy of the prediction of the dissolution and sequestration potential of carbon dioxide in the formation is further improved.
In addition, the invention also discloses a method for predicting the gas sequestration potential, which comprises the method for measuring the gas solubility according to any one of the above methods, so that all the technical effects of the method for measuring the gas solubility are achieved, and the method is not repeated herein.
The terms first and second and the like in the description and in the claims and in the above-described figures are used for distinguishing between different objects and not necessarily for describing a sequential or chronological order. Furthermore, the terms "comprise" and "have," as well as any variations thereof, are intended to cover a non-exclusive inclusion. For example, a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to the listed steps or elements but may include steps or elements not expressly listed.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.