RELATIVE VALUATION METHOD FOR NAPHTHA STREAMS

Abstract

A system and a method for determining the relative value of a naphtha stream is provided, by conducting analysis on the crude oil sample, after which modules or steps are performed to estimate the total liquid yields, estimate raw product yields, normalize raw product yields, determine the value of each fraction based on predetermined values, and calculate the total value of the naphtha stream.

Claims

1. A system for assigning a value to a naphtha sample derived from a crude oil sample based upon analysis of the crude oil sample, the system comprising: a non-volatile memory device that stores calculation modules and crude oil analysis data; a processor coupled to the memory; a first calculation module that calculates and assigns aromatic content and naphthene content to the naptha sample as a function of an index of the crude oil analysis data and a density of the crude oil sample; a second calculation module that calculates and assigns a total products yield as a function of the aromatic content and naphthene content; a third calculation module that calculates and assigns raw product yield to each of methane, ethane, propane, butane and gasoline as a function of the assigned total liquid products yield; a fourth calculation module that calculates and assigns a raw product yield of hydrogen as a function of the assigned total liquid product yield; and a fifth calculation module that calculates and assigns values to each of hydrogen, methane, ethane, propane, butane and gasoline as a function of the raw product yields of each of hydrogen, methane, ethane, propane, butane and gasoline and a unit value of each product.

2. A method for operating a computer to assign a value to a naphtha sample derived from a crude oil sample based upon analysis of the crude oil sample, the method comprising: entering into the computer crude oil analysis data; calculating and assigning aromatic content and naphthene content to the naptha sample as a function of an index of the crude oil analysis data and a density of the crude oil sample; calculating and assigning a total products yield as a function of the aromatic content and naphthene content; calculating and assigning a raw product yield to each of methane, ethane, propane, butane and gasoline as a function of the assigned total liquid products yield; calculating and assigning a raw product yield of hydrogen as a function of the assigned total liquid product yield; and calculating and assigning a value to each of hydrogen, methane, ethane, propane, butane and gasoline as a function of the raw product yields of each of hydrogen, methane, ethane, propane, butane and gasoline and a unit value of each product.

3. The system or method of claim 1 or 2, wherein the crude oil analysis data is derived from an analysis technique selected from the group consisting of Fourier transform near infrared spectroscopy, Fourier transform infrared spectroscopy, Fourier transform ion cyclotron mass spectroscopy, time of flight mass spectroscopy, ultraviolet visible spectroscopy, laser induced ultraviolet spectroscopy, nuclear magnetic spectroscopy, fluorescence spectroscopy, Raman spectroscopy, gas chromatography, liquid chromatography, supercritical fluid chromatography, Thermogravimetric analysis, and differential scanning calorimetry.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0022] Further advantages and features of the present invention will become apparent from the following detailed description of the invention when considered with reference to the accompanying drawing, in which:

[0023] FIG. 1 schematically illustrates the hydrotreating and reformation of naphtha and the chromatograph analysis of the resultant streams;

[0024] FIG. 2 is a process flow diagram of additional steps carried out to establish a value for naphtha streams using the system and method herein; and

[0025] FIG. 3 is a block diagram of a component of a system for implementing the invention according to one embodiment.

DETAILED DESCRIPTION OF INVENTION

[0026] A system and method is provided for determining and assigning yields and valuation of a hydrocarbon sample. Reformate component yields of a naptha fraction derived in certain embodiments from crude oil samples are assigned as a function of the PIONA analysis data of a crude oil sample. The correlations also provide information about naphtha component and total yields without fractionation/distillation (crude oil assays) and enables producers, refiners, and marketers to benchmark the oil quality and, as a result, valuate the oils without performing the customary extensive and time-consuming crude oil assays.

[0027] The systems and methods are applicable for evaluation of naphtha streams derived from crude oils, bitumens, heavy oils, shale oils and from refinery process units including hydrotreating, hydroprocessing, fluid catalytic cracking, coking, and visbreaking or coal liquefaction.

[0028] FIG. 1 shows the hydrotreating and reforming process 100. Naphtha stream 110 is fed into a hydrotreater 115 to produce a hydrotreated naphtha stream 120, which is passed to a reformer 125. Light component streams hydrogen (“H2”) 130, methane (“C1”) 135, ethane (“C2”) 140, propane (“C3”) 145, and butane (“C4”) 150, and reformate (“C5+ ”) 155, are recovered from reformer 125. Operating conditions are such that the reformate is characterized by a target research octane number. Thus, while the product yield distribution will differ for each naphtha feedstock produced, the quality of gasoline, as measured by the research octane number, will be uniform.

[0029] The predetermined research octane number selected can be in the range of from 80 to 100 for products coming from the reforming unit, in certain embodiments in the range of from 95 to 100, and in further embodiments in the range of from 95 to 98, which is the gasoline RON specification. It is to be noted that the yield typically declines with an increase in the target octane number.

[0030] In certain embodiments, hydrotreater 115 operates under conditions and in the presence of one or more catalysts effective to produce a hydrotreated naphtha stream 120 having sulfur levels below 0.5 ppmw and nitrogen levels below 0.5 ppmw. The maximum allowable sulfur and nitrogen contaminant content levels should be maintained within the predetermined limits established for efficient use of the reformer unit catalyst. The reformer catalyst is made of noble metals such as platinum and palladium and is very sensitive to impurities like sulfur and nitrogen. The presence of higher levels of sulfur and nitrogen during the operation will poison the catalyst. As is known to those of ordinary skill in the art, the major sources of sulfur are inadequate hydrotreating, hydrotreating stripper upsets and the recombination of hydrogen sulfide and olefins at high temperature and low pressures. The principal sources of nitrogen are inadequate hydrotreating, cracked naphtha in the feedstock, and improper use of inhibitors. Since the reforming unit catalyst can be quite sensitive to impurities, in certain embodiments sulfur and nitrogen levels are reduced in the hydrotreating process to provide a reformer feedstream meeting the requisite specification.

[0031] The separated light gases 130, 135, 140, 140, 150 are passed into one or more refinery gas analyzers 160, for instance in certain embodiments gas chromatographs that analyze the gases in accordance with ASTM D1945.

[0032] Liquid reformate 155 is fed into PIONA analyzer 165. In certain embodiments PIONA analyzer 165 is a gas chromatograph that analyzes the liquid in accordance with ASTM D6839. In the PIONA analysis, fractions of the reformate are tabulated by carbon number and n-paraffins, i-paraffins, naphthenes and aromatics, showing the percentage volume for each carbon number. In certain embodiments, the reformate is derived from straight-run naphtha from crude oil distillation, as opposed to being derived from intermediate refinery naphtha from cracking reactions, and accordingly no or few olefins are present.

[0033] FIG. 2 shows a process flowchart of steps in a method according to one embodiment herein that occur after the analysis 210 of the crude oil sample or analysis of the reformate, to obtain data indicative of the naphthenes and aromatics present in the naphtha sample subject to valuation.

[0034] In certain embodiments, the analysis step 210 is a PIONA analysis of reformate 155. Variable N is used to represent the total percentage of naphthenes by volume, and variable A is used to represent the total percentage of aromatics by volume, as derived from the PIONA analysis.

[0035] In further embodiments, the analysis step 210 is an analysis of a crude oil sample selected from any one of Fourier transform near infrared spectroscopy, Fourier transform infrared spectroscopy, Fourier transform ion cyclotron mass spectroscopy, time of flight mass spectroscopy, near infrared spectroscopy, ultraviolet visible spectroscopy, laser induced ultraviolet spectroscopy, nuclear magnetic spectroscopy, fluorescence spectroscopy, Raman spectroscopy, gas chromatography, liquid chromatography, supercritical fluid chromatography, Thermogravimetric analysis, or differential scanning calorimetry. One of these analyses is used to assign an index to the crude oil sample. The assigned index is used to assign the aromatic content and the naphthene content of the naptha fraction subject to valuation.

[0036] In one embodiment, in which Fourier transform near infrared spectroscopy is used for the analysis step 210, an index (near infrared absorption index NIRA) is assigned according to equation (1):

[00001]$\begin{array}{cc}N.Math..Math.I.Math..Math.R.Math..Math.A=\underset{i=4,000}{\overset{12,821}{.Math.}}.Math.\left({\mathrm{Absorbance}}_{\left(i\right)}\right)/10,000& \left(1.Math.a\right)\end{array}$

[0037] where:

[0038] Absorbance=absorbance value of the crude oil solution for peaks detected over a predetermined wavenumber range, e.g., over the range 4,000 cm.sup.−1 to 12,821 cm.sup.−1.

[0039] Using this index and the density of the crude oil sample, the aromatic and naphthene contents are calculated and assigned:

Paraffin Content=KPa+KPb*DEN+KPc*DEN.sup.2+KPd*DEN.sup.3+KPe*I+KPf*I.sup.2+KPg*I.sup.3+KPh*DEN*I   (1b)

Aromatic Content=KAa+KAb*DEN+KAc*DEN.sup.2+KAd*DEN.sup.3+KAe*I+KAf*I.sup.2+KAg*I.sup.3+KAh*DEN*I   (1c)

Naphthene Content=100−Paraffin Content−Aromatic Content   (1d)

[0040] where;

[0041] where KPa through KPh and KAa through KAh are constants,

[0042] DEN=Density of crude oil at 15° C., and

[0043] I=Index, e.g., FT NIR index as assigned in equation (1), or other index assigned from other analysis of the crude oil sample.

[0044] In step 220, the feed quality is calculated as:

Feed quality=N+2A   (2)

[0045] Equations for determining the total reformer yield can be developed, in certain embodiments using linear regression of the N+2A concentration versus total yield.

[0046] In step 230, the total liquid yield, Y, is estimated as a function of the feed quality and the constant RON number (i.e., the target number), Rt:

Y=KYa*(N+2A).sup.2+KYb*(N+2A)+KYc*Rt.sup.2+KYd*Rt+KYe   (3)

[0047] where KYa through KYe are constants.

[0048] The individual yields for H2, C1, C2, C3, C4 and C5+ and the reformate yield can then be assigned. In certain embodiments these assigned values are calculated using linear regression of the total reformate yield versus individual yields at the targeted octane number. In step 240, the estimated raw product yields for methane, ethane, propane, butane and gasoline are modeled linearly based upon the total liquid products variable, while hydrogen is modeled linearly based upon the total liquid products variable and the constant RON number, Rt.

Raw Methane Yield, C1r=KC1ra*Y+KC1rb   (4)

Raw Ethane Yield, C2r=KC2ra*Y+KC2rb   (5)

Raw Propane Yield, C3r=KC3ra*Y+KC3rb   (6)

Raw Butane Yield, C4r=KC4ra*Y+KC4rb   (7)

Raw Gasoline Yield, Gr=KGra*Y+KGrb   (8)

Raw Hydrogen Yield, Hr=KHra*Y+KHrb*Rt+KHrc   (9)

where KC1ra through KC4rb, KGra, KGrb, and KHRA through KHrc are constants.

[0049] The estimated total raw yield is the sum of the estimated raw yields for these components:

Total Raw Yield, Tr=C1r+C2r+C3r+C4r+Gr+Hr   (10)

[0050] In step 250, the yields are normalized to 100 by dividing the individual raw yields by the total raw yields, as follows:

Normalized Methane Yield, C1n=(C1r*100)/Tr   (11)

Normalized Ethane Yield, C2n=(C2r*100)/Tr   (12)

Normalized Propane Yield, C3n=(C3r*100)/Tr   (13)

Normalized Butane Yield, C4n=(C4r*100)/Tr   (14)

Normalized Gasoline Yield, Gn=(Gr*100)/Tr   (15)

Normalized Hydrogen Yield, Hn=(Hr*100)/Tr   (16)

[0051] In step 260, the estimated yield of each fraction is multiplied by its unit value, to assign a value to each fraction:

Value of Methane, C1v=(C1n/100)*C1P, where C1P is methane's value   (17)

Value of Ethane, C2v=(C2n/100)*C2P, where C2P is ethane's value   (18)

Value of Propane, C3v=(C3n/100)*C3P, where C3P is propane's value   (19)

Value of Butane, C4v=(C4n/100)*C4P, where C4P is butane's value   (20)

Value of Gasoline, Gv=(Gn/100)*GP, where GP is gasoline's value   (21)

Value of Hydrogen, Hv=(Hn/100)*HP, where HP is hydrogen's value   (22)

[0052] In step 270, the total value of the naphtha stream is then estimated by summing the calculated values of the individual streams:

Naphtha Unit Value ($/ton), NPT=C1v+C2v+C3v+C4v+Gv+Hv   (23)

[0053] The value of the naphtha stream can also be restated as $/barrel, by dividing the value expressed as $/ton by the density and multiplying by the number of liters in a barrel of oil (159 liters/barrel):

NPB=(NPT/Density)*159 liters/barrel   (24)

[0054] When two naphtha streams are to be evaluated, this process can readily be used to assign values to each for comparison.

[0055] An exemplary block diagram of a computer system 300 by which calculation modules are operable, for instance, to carry out all or a portion of equations (1a)-(24), can be implemented is shown in FIG. 3. Computer system 300 includes a processor 310, such as a central processing unit, an input/output interface 320 and support circuitry 330. In certain embodiments, where the computer 300 requires direct human interaction, a display 340 and an input device 350 such as a keyboard, mouse or pointer are also provided. The display 340, input device 350, processor 310, input/output interface 320 and support circuitry 330 are shown connected to a bus 360 which also connects to a memory unit 370. Memory 370 includes program storage memory 380 and data storage memory 390. Note that while computer 300 is depicted with the direct human interface components of display 340 and input device 350, programming of modules and importation and exportation of data can also be accomplished over the interface 320, for instance, where the computer 300 is connected to a network and the programming and display operations occur on another associated computer, or via a detachable input device, as are well known in the art for interfacing programmable logic controllers.

[0056] Program storage memory 380 and data storage memory 390 can each comprise volatile (RAM) and non-volatile (ROM) memory units and can also comprise hard disk and backup storage capacity, and both program storage memory 380 and data storage memory 390 can be embodied in a single memory device or separated in plural memory devices. Program storage memory 380 stores software program modules and associated data, including one or more calculation modules such as a feed quality calculation module (e.g., corresponding to step 220 described above with respect to FIG. 2), yield calculation modules (e.g., corresponding to steps 230, 240 and 250 described above with respect to FIG. 2, including separate or individual modules for total reformer yield; total liquid yield; individual yields for H2, C1, C2, C3, C4 and C5+ and the reformate; total raw yield; and normalized yields), and valuation modules (e.g., corresponding to steps 260 and 270 described above with respect to FIG. 2). Data storage memory 390 stores data used and/or generated by the one or more modules of the present system, including PIONA analysis data or portions thereof used by the one or more modules of the present system, and calculated feed quality, yields and valuations generated by the one or more modules of the present system.

[0057] The calculated and assigned results in accordance with the systems and methods herein are displayed, audibly outputted, printed, and/or stored to memory for use as described herein.

[0058] It is to be appreciated that the computer system 300 can be any general or special purpose computer such as a personal computer, minicomputer, workstation, mainframe, a dedicated controller such as a programmable logic controller, or a combination thereof. While the computer system 300 is shown, for illustration purposes, as a single computer unit, the system can comprise a group/farm of computers which can be scaled depending on the processing load and database size, e.g., the total number of samples that are processed and results maintained on the system. The computer system 300 can serve as a common multi-tasking computer.

[0059] The computing device 300 preferably supports an operating system, for example, stored in program storage memory 390 and executed by the processor 310 from volatile memory. According to the present system and method, the operating system contains instructions for interfacing the device 300 to the calculation module(s). According to an embodiment of the invention, the operating system contains instructions for interfacing computer system 300 to the Internet and/or to private networks.

EXAMPLE 1

[0060] An exemplary PIONA analysis of a sample from a hydrotreated naphtha stream is shown in Table 1. Note that while most of the light components such as propane and butane present in the naphtha are separated, some light components will remain dissolved in the liquid reformate product, and thus will appear in the PIONA analysis.

TABLE-US-00001 TABLE 1 PIONA ANALYSIS OF A NAPHTHA STREAM Hydrocarbon Family Carbon # n-Paraffins i-Paraffins Naphthenes Aromatics C3 0.112%    0%    0%    0% C4 2.022% 0.212%    0%    0% C5 6.232% 2.626% 0.494%    0% C6 8.697% 6.114% 3.086% 0.751% C7 12.749%  16.033%  5.545% 1.985% C8 5.288% 6.006% 3.017% 2.448% C9  3.02% 3.829% 2.019% 1.893% C10 1.304% 2.159% 0.819% 0.968% C11 0.084%  0.25% 0.221% 0.017% Total* 37.29% 36.77% 14.98%  8.05% *Total = 97.09 V %, losses = 2.91 V %. (i.e., the yields are not normalized.)

[0061] Based on the data of Table 1, equations (2)-(24) can be used to assign the naptha value as a function of the feed quality and the target RON number, Rt. Thus, in the example given in Table 1, N=14.98, and A=8.05

Feed quality=N+2A=14.98+2*8.05=31.08   (2).

[0062] Equations and constants for assigning total reformer yield were developed from a linear regression of the N+2A concentration versus total yield. The individual yields for H2, C1, C2, C3, C4 and C5+ and the reformate yield were calculated from a linear regression of the total reformate yield versus individual yields at the target research octane number. For these calculations, the following constants are applied:

KYa=0.01702; KYb=2.192; KYc=−0.03333; KYd=5.531; and KYe=−206.63   Eq. (3):

KC1ra=−0.12393; KC1rb=11.42; KC2ra=−0.17991; KC2rb=16.8; KC3ra=−0.25714; KC3rb=24.24286; KC4ra=−0.28705; KC4rb=27.27143; KGra=0.839255; KGrb=18.09532; KHra=0.0605; KHrb=0.1; and KHrc=−12.145.   Eqs.(4)-(9):

[0063] Thus, for the example given in Table 1, when a target octane number for gasoline of 98 is selected, the yield equation (3) is as follows:

Y=KYa*(N+2A).sup.2+KYb*(N+2A)+KYc*Rt.sup.2+KYd*Rt+KYe   (3)

Y=(−0.01702)*(31.08).sup.2+2.192*31.08−0.03333*(98).sup.2+5.531*98−206.63

Y=66.99.

[0064] The individual raw product yields are as follows:

C1r=KC1ra*Y+KC1rb=0.12393*66.99+11.42=3.11   (4)

C2r=KC2ra*Y+KC2rb=−0.17991*66.99+16.8=4.75   (5)

C3r=KC3ra*Y+KC3rb=−0.25714*66.99+24.24286=7.02   (6)

C4r=KC4ra*Y+KC4rb=−0.28705*66.99+27.27143=8.04   (7)

Gr=KGra*Y+KGrb=0.839255*66.99+18.09532=74.32   (8)

Hr=KHra*Y+KHrb*Rt+KHrc=0.0605*66.99+0.1*98−12.145=1.7   (9)

[0065] The Total Raw Yield is:

[00002]$\begin{array}{cc}\begin{array}{c}\mathrm{Tr}=.Math.C.Math..Math.1.Math.r+C.Math..Math.2.Math.r+C.Math..Math.3.Math.r+C.Math..Math.4.Math.r+\mathrm{Gr}+\mathrm{Hr}\\ =.Math.3.11+4.75+7.02+8.04+74.32+1.71\\ =.Math.98.95\end{array}& \left(10\right)\end{array}$

[0066] The normalized product yields are as follows:

C1n=(C1r*100)/Tr=(3.11*100)/98.94917=3.14   (11)

C2n=(C2r*100)/Tr=(4.75*100)/98.94917=4.80   (12)

C3n=(C3r*100)/Tr=(7.02*100)/98.94917=7.09   (13)

C4n=(C4r*100)/Tr=(8.04*100)/98.94917=8.13   (14)

Gn=(Gr*100)/Tr=(74.32*100)/98.94917=75.11   (15)

Hn=(Hr*100)/Tr(1.71*100)/98.94917=1.73   (16)

[0067] Thus, if unit values are, for methane, C1P=$152.44/ton; for ethane, C2P=$149.81/ton; for propane, C3P=$343.71/ton; for butane, C4P=$499.03/ton; for gasoline, GP=$601.63/ton; and for hydrogen, HP=$391.60/ton, then the value of those products in the naphtha stream of Table 1 would be calculated as:

C1v=(3.14/100)*$152.44/ton=$4.80/ton   (17)

C2v=(4.80/100)*$149.81/ton=$7.19/ton   (18)

C3v=(7.09/100)*$343.71/ton=$24.37/ton   (19)

C4v=(8.13/100)*$499.03/ton=$40.57/ton   (20)

Gv=(75.11/100)*$601.63/ton=$451.88/to   (21)

Hv=(1.73/100)*$391.60/ton=$6.77/ton   (22)

[0068] The value of the naphtha stream calculated by this method is:

NPT=4.80+7.19+24.37+40.57+451.88+6.77=$535.58/ton   (23)

NPB=($535.58/ton/750 liters/ton)*159 liters/barrel=$113.54/barrel   (24)

EXAMPLE 2

[0069] A sample of Arabian light crude with a density of 0.8658 Kg/l at 15° C. was analyzed by near infrared spectroscopy. The spectra data is presented in Table 3. The near infrared spectroscopy index (NIRA) is calculated using equation (1a), by summing the absorbances (columns C2=1674.09, C4=1667.16, C6=1847.95, C8=1075.85, C10=1136.82) of the detected peaks (Table 3) and then dividing by 10,000, with the value in the example calculated as 0.7402.

[0070] NIRA, which is calculated using the equation 1b by taking the sums of absorbance (columns C2=1685.305, C4=1678.383, C6=1949.850, C8=1120.099, C10=1142.337) in Table 3, is 0.7575974. The paraffin, aromatic and naphthenic contents of the naphtha fraction boiling in the range 36° C.-180° C. are calculated using the equations 1b, 1c and 1d:

Paraffin Content=KPa+KPb*DEN+KPc*DEN.sup.2+KPd*DEN.sup.3+KPe*I+KPf*I.sup.2+KPg*I.sup.3+KPh*DEN*I   (1b)

Aromatic Content=KAa+KAb*DEN+KAc*DEN.sup.2+KAd*DEN.sup.3+KAe*I+KAf*I.sup.2+KAg*I.sup.3+KAh*DEN*I   (1c)

Naphthene Content=100−Paraffin Content−Aromatic Content   (1d)

[0071] Constants KPa through KPh and KAa through KAh were determined using linear regression and shown in Table 2, with the calculated values presented in the tables according to Equations (1b) and (1c).

TABLE-US-00002 TABLE 2 Constants Values Variable Values Equation Value KPa 1.7341106E+06 — Kpa 1.734E+06 Kpb −5.7388549E+06 DEN 8.658E−01 Kpb * DEN −4.969E+06 KPc 6.2814681E+06 DEN{circumflex over ( )}2 7.496E−01 Kpc * DEN{circumflex over ( )}2 4.709E+06 KPd −2.2726340E+06 DEN{circumflex over ( )}3 6.490E−01 Kpd * DEN{circumflex over ( )}3 −1.475E+06 Kpe 4.3445704E+04 I 7.402E−01 Kpe * NIRA 3.216E+04 KPf −7.6959428E+03 I{circumflex over ( )}2 5.479E−01 Kpf * NIRA{circumflex over ( )}2 −4.217E+03 KPg 4.2917337E+03 I{circumflex over ( )}3 4.056E−01 Kpg * NIRA{circumflex over ( )}3 1.741E+03 KPh −4.4780051E+04 DEN * I 6.409E−01 Kph * DEN * NIRA −2.870E+04 Paraffins Paraffins 76.86 KPa 3.5428498E+05 — KPa 3.543E+05 Kpb −1.2231660E+06 DEN 8.658E−01 Kpb * DEN −1.059E+06 KPc 1.4074133E+06 DEN{circumflex over ( )}2 7.496E−01 KPc * DEN{circumflex over ( )}2 1.055E+06 KPd −5.3968374E+05 DEN{circumflex over ( )}3 6.490E−01 KPd * DEN{circumflex over ( )}3 −3.503E+05 Kpe −1.8696110E+02 I 7.402E−01 Kpe * I −1.384E+02 KPf 1.0846669E+02 I{circumflex over ( )}2 5.479E−01 KPf * I{circumflex over ( )}2 5.943E+01 KPg −7.3293203E+01 I{circumflex over ( )}3 4.056E−01 KPg * I{circumflex over ( )}3 −2.972E+01 KPh 1.5524161E+02 DEN * I 6.409E−01 KPh * DEN * I 9.949E+01 Aromatics Aromatics 8.05

[0072] The actual and predicted values are compared as follows and the correlation predicts the paraffin and aromatic composition of the naphtha fraction very accurately. The paraffins contents are: Actual 76.74 V % vs. predicted 76.68 V %. The aromatics contents are: Actual 8.05 V % vs. predicted 8.05 V %. These values are used in equations 2-24 to calculate the naphtha value.

[0073] In alternate embodiments, the present invention can be implemented as a computer program product for use with a computerized computing system. Those skilled in the art will readily appreciate that programs defining the functions of the present invention can be written in any appropriate programming language and delivered to a computer in any form, including but not limited to: (a) information permanently stored on non-writeable storage media (e.g., read-only memory devices such as ROMs or CD-ROM disks); (b) information alterably stored on writeable storage media (e.g., floppy disks and hard drives); and/or (c) information conveyed to a computer through communication media, such as a local area network, a telephone network, or a public network such as the Internet. When carrying computer readable instructions that implement the present invention methods, such computer readable media represent alternate embodiments of the present invention.

[0074] As generally illustrated herein, the system embodiments can incorporate a variety of computer readable media that comprise a computer usable medium having computer readable code means embodied therein. One skilled in the art will recognize that the software associated with the various processes described can be embodied in a wide variety of computer accessible media from which the software is loaded and activated. Pursuant to In re Beauregard, 35 USPQ2d 1383 (U.S. Pat. No. 5,710,578), the present invention contemplates and includes this type of computer readable media within the scope of the invention. In certain embodiments, pursuant to In re Nuijten, 500 F.3d 1346 (Fed. Cir. 2007) (U.S. patent application Ser. No. 09/211,928), the scope of the present claims is limited to computer readable media, wherein the media is both tangible and non-transitory.

[0075] The system and method of the present invention have been described above and with reference to the attached drawings; however, modifications will be apparent to those of ordinary skill in the art and the scope of protection for the invention is to be defined by the claims that follow.

TABLE-US-00003 TABLE 3 C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 WL, nm Abs., % WL, nm Abs., % WL, nm Abs., % WL, nm Abs., % WL, nm Abs., % 12493 3.51 10792 3.59 9091 4.28 7390 2.98 5689 3.15 12489 3.47 10788 3.59 9087 4.32 7386 2.98 5685 3.18 12485 3.47 10784 3.59 9084 4.34 7383 2.98 5682 3.20 12482 3.47 10781 3.59 9080 4.33 7379 2.98 5678 3.21 12478 3.44 10777 3.59 9076 4.33 7375 2.99 5674 3.22 12474 3.43 10773 3.57 9072 4.33 7371 2.99 5670 3.20 12470 3.45 10769 3.56 9068 4.29 7367 2.99 5666 3.17 12466 3.45 10765 3.56 9064 4.25 7363 2.99 5662 3.12 12462 3.42 10761 3.56 9060 4.26 7359 2.99 5658 3.06 12458 3.41 10757 3.56 9057 4.35 7356 3.00 5655 3.00 12455 3.49 10754 3.57 9053 4.45 7352 3.00 5651 2.94 12451 3.56 10750 3.58 9049 4.44 7348 3.00 5647 2.88 12447 3.53 10746 3.57 9045 4.33 7344 3.00 5643 2.82 12443 3.43 10742 3.54 9041 4.27 7340 2.99 5639 2.76 12439 3.39 10738 3.54 9037 4.29 7336 2.99 5635 2.70 12435 3.46 10734 3.57 9033 4.39 7332 2.99 5631 2.64 12431 3.52 10730 3.62 9030 4.46 7329 2.98 5628 2.58 12428 3.52 10727 3.64 9026 4.44 7325 2.98 5624 2.52 12424 3.55 10723 3.62 9022 4.38 7321 2.97 5620 2.46 12420 3.58 10719 3.59 9018 4.36 7317 2.97 5616 2.41 12416 3.55 10715 3.57 9014 4.38 7313 2.97 5612 2.36 12412 3.52 10711 3.60 9010 4.40 7309 2.97 5608 2.32 12408 3.51 10707 3.60 9006 4.42 7305 2.97 5604 2.28 12404 3.56 10703 3.57 9003 4.44 7302 2.97 5601 2.25 12401 3.61 10700 3.55 8999 4.42 7298 2.97 5597 2.23 12397 3.58 10696 3.55 8995 4.43 7294 2.97 5593 2.21 12393 3.52 10692 3.57 8991 4.46 7290 2.97 5589 2.20 12389 3.51 10688 3.60 8987 4.47 7286 2.97 5585 2.18 12385 3.51 10684 3.62 8983 4.47 7282 2.98 5581 2.18 12381 3.47 10680 3.65 8979 4.51 7278 2.98 5577 2.17 12377 3.43 10676 3.68 8976 4.55 7275 2.98 5574 2.16 12374 3.39 10673 3.67 8972 4.57 7271 2.98 5570 2.16 12370 3.38 10669 3.64 8968 4.52 7267 2.98 5566 2.15 12366 3.41 10665 3.61 8964 4.49 7263 2.99 5562 2.15 12362 3.47 10661 3.61 8960 4.54 7259 2.99 5558 2.14 12358 3.54 10657 3.63 8956 4.69 7255 2.99 5554 2.14 12354 3.56 10653 3.66 8952 4.82 7251 3.00 5550 2.13 12350 3.54 10649 3.67 8949 4.79 7248 3.00 5547 2.12 12347 3.53 10646 3.67 8945 4.69 7244 3.00 5543 2.11 12343 3.55 10642 3.65 8941 4.64 7240 3.00 5539 2.11 12339 3.57 10638 3.61 8937 4.58 7236 3.00 5535 2.10 12335 3.52 10634 3.57 8933 4.55 7232 3.00 5531 2.10 12331 3.43 10630 3.58 8929 4.62 7228 3.00 5527 2.09 12327 3.41 10626 3.61 8925 4.72 7224 3.00 5523 2.09 12323 3.48 10622 3.62 8922 4.78 7221 3.00 5520 2.09 12320 3.60 10619 3.62 8918 4.79 7217 3.00 5516 2.09 12316 3.64 10615 3.61 8914 4.77 7213 3.01 5512 2.09 12312 3.65 10611 3.60 8910 4.68 7209 3.01 5508 2.09 12308 3.66 10607 3.60 8906 4.79 7205 3.02 5504 2.09 12304 3.64 10603 3.61 8902 5.04 7201 3.02 5500 2.09 12300 3.59 10599 3.63 8898 4.97 7197 3.02 5496 2.09 12296 3.58 10595 3.66 8895 4.89 7194 3.03 5493 2.09 12293 3.64 10592 3.65 8891 4.94 7190 3.03 5489 2.08 12289 3.70 10588 3.62 8887 4.93 7186 3.03 5485 2.08 12285 3.72 10584 3.63 8883 4.86 7182 3.02 5481 2.07 12281 3.67 10580 3.64 8879 4.83 7178 3.02 5477 2.07 12277 3.60 10576 3.62 8875 4.82 7174 3.01 5473 2.06 12273 3.56 10572 3.61 8871 4.76 7170 3.00 5469 2.05 12269 3.52 10568 3.62 8868 4.83 7167 2.98 5466 2.04 12266 3.49 10565 3.61 8864 4.91 7163 2.97 5462 2.03 12262 3.50 10561 3.62 8860 4.93 7159 2.95 5458 2.02 12258 3.53 10557 3.64 8856 4.88 7155 2.93 5454 2.01 12254 3.53 10553 3.64 8852 4.84 7151 2.92 5450 2.00 12250 3.50 10549 3.63 8848 4.78 7147 2.91 5446 1.98 12246 3.50 10545 3.63 8844 4.67 7143 2.90 5442 1.97 12242 3.51 10541 3.63 8841 4.66 7140 2.89 5439 1.96 12239 3.53 10538 3.66 8837 4.79 7136 2.88 5435 1.94 12235 3.56 10534 3.69 8833 4.89 7132 2.87 5431 1.93 12231 3.57 10530 3.68 8829 4.89 7128 2.87 5427 1.91 12227 3.57 10526 3.65 8825 4.95 7124 2.86 5423 1.90 12223 3.57 10522 3.63 8821 5.05 7120 2.86 5419 1.88 12219 3.57 10518 3.63 8817 4.95 7116 2.86 5415 1.87 12215 3.55 10514 3.65 8814 4.73 7113 2.85 5412 1.85 12212 3.56 10511 3.66 8810 4.66 7109 2.85 5408 1.83 12208 3.65 10507 3.65 8806 4.67 7105 2.85 5404 1.82 12204 3.70 10503 3.63 8802 4.71 7101 2.86 5400 1.80 12200 3.64 10499 3.63 8798 4.82 7097 2.86 5396 1.79 12196 3.56 10495 3.65 8794 5.12 7093 2.86 5392 1.77 12192 3.51 10491 3.66 8790 5.40 7089 2.86 5388 1.76 12188 3.50 10487 3.64 8787 5.07 7086 2.86 5385 1.74 12185 3.51 10484 3.61 8783 4.95 7082 2.86 5381 1.73 12181 3.53 10480 3.58 8779 4.88 7078 2.85 5377 1.72 12177 3.55 10476 3.58 8775 4.78 7074 2.85 5373 1.71 12173 3.59 10472 3.61 8771 4.88 7070 2.84 5369 1.70 12169 3.59 10468 3.66 8767 4.99 7066 2.83 5365 1.69 12165 3.52 10464 3.68 8763 5.15 7062 2.82 5361 1.68 12161 3.47 10460 3.69 8760 4.98 7059 2.80 5358 1.67 12158 3.49 10457 3.70 8756 4.85 7055 2.79 5354 1.67 12154 3.57 10453 3.74 8752 4.77 7051 2.78 5350 1.66 12150 3.61 10449 3.77 8748 4.82 7047 2.77 5346 1.66 12146 3.61 10445 3.78 8744 4.95 7043 2.76 5342 1.66 12142 3.61 10441 3.77 8740 5.06 7039 2.75 5338 1.65 12138 3.58 10437 3.73 8736 5.05 7035 2.74 5334 1.65 12134 3.54 10433 3.70 8733 4.89 7032 2.73 5331 1.65 12131 3.53 10430 3.69 8729 4.83 7028 2.72 5327 1.65 12127 3.52 10426 3.69 8725 4.85 7024 2.72 5323 1.65 12123 3.51 10422 3.69 8721 4.92 7020 2.71 5319 1.64 12119 3.53 10418 3.71 8717 5.02 7016 2.70 5315 1.64 12115 3.57 10414 3.76 8713 5.11 7012 2.70 5311 1.64 12111 3.60 10410 3.78 8709 5.00 7008 2.69 5307 1.63 12107 3.64 10406 3.76 8706 4.95 7005 2.69 5304 1.63 12104 3.64 10403 3.75 8702 4.96 7001 2.69 5300 1.63 12100 3.57 10399 3.77 8698 5.11 6997 2.68 5296 1.62 12096 3.51 10395 3.80 8694 5.20 6993 2.68 5292 1.62 12092 3.53 10391 3.80 8690 5.09 6989 2.68 5288 1.62 12088 3.56 10387 3.79 8686 4.97 6985 2.67 5284 1.62 12084 3.54 10383 3.79 8682 5.01 6981 2.67 5280 1.61 12080 3.51 10379 3.75 8679 5.07 6978 2.66 5277 1.61 12077 3.52 10376 3.71 8675 5.03 6974 2.66 5273 1.61 12073 3.57 10372 3.72 8671 5.03 6970 2.65 5269 1.60 12069 3.60 10368 3.76 8667 5.08 6966 2.64 5265 1.60 12065 3.57 10364 3.78 8663 4.95 6962 2.63 5261 1.60 12061 3.51 10360 3.78 8659 4.80 6958 2.63 5257 1.59 12057 3.50 10356 3.77 8655 4.75 6954 2.62 5253 1.59 12053 3.51 10352 3.77 8652 4.80 6951 2.61 5250 1.59 12050 3.51 10349 3.76 8648 4.95 6947 2.60 5246 1.58 12046 3.53 10345 3.77 8644 5.10 6943 2.60 5242 1.58 12042 3.55 10341 3.76 8640 4.92 6939 2.59 5238 1.58 12038 3.54 10337 3.73 8636 4.77 6935 2.58 5234 1.58 12034 3.53 10333 3.72 8632 4.71 6931 2.57 5230 1.57 12030 3.55 10329 3.76 8628 4.70 6927 2.57 5226 1.57 12026 3.60 10325 3.78 8625 4.77 6924 2.56 5223 1.57 12023 3.70 10322 3.75 8621 4.81 6920 2.55 5219 1.57 12019 3.78 10318 3.73 8617 4.77 6916 2.55 5215 1.57 12015 3.80 10314 3.76 8613 4.79 6912 2.54 5211 1.56 12011 3.92 10310 3.78 8609 4.81 6908 2.53 5207 1.56 12007 3.81 10306 3.77 8605 4.74 6904 2.53 5203 1.56 12003 3.77 10302 3.74 8601 4.75 6900 2.52 5199 1.55 11999 3.74 10298 3.72 8598 4.86 6897 2.51 5196 1.55 11996 3.72 10295 3.73 8594 5.08 6893 2.50 5192 1.55 11992 3.79 10291 3.76 8590 5.19 6889 2.49 5188 1.54 11988 3.85 10287 3.76 8586 5.06 6885 2.49 5184 1.54 11984 3.84 10283 3.75 8582 4.91 6881 2.48 5180 1.54 11980 3.84 10279 3.74 8578 4.79 6877 2.47 5176 1.53 11976 3.86 10275 3.72 8574 4.81 6873 2.46 5172 1.53 11972 3.79 10271 3.71 8571 4.92 6870 2.46 5169 1.53 11969 3.74 10268 3.69 8567 4.95 6866 2.45 5165 1.53 11965 3.80 10264 3.69 8563 4.99 6862 2.44 5161 1.52 11961 3.82 10260 3.73 8559 4.95 6858 2.44 5157 1.52 11957 3.80 10256 3.77 8555 4.80 6854 2.43 5153 1.52 11953 3.76 10252 3.76 8551 4.66 6850 2.43 5149 1.51 11949 3.74 10248 3.72 8547 4.62 6846 2.42 5145 1.51 11945 3.81 10244 3.71 8544 4.65 6843 2.42 5142 1.51 11942 3.95 10241 3.76 8540 4.68 6839 2.41 5138 1.51 11938 4.08 10237 3.77 8536 4.66 6835 2.41 5134 1.50 11934 4.32 10233 3.74 8532 4.68 6831 2.40 5130 1.50 11930 4.36 10229 3.72 8528 4.74 6827 2.40 5126 1.50 11926 4.05 10225 3.72 8524 4.73 6823 2.39 5122 1.50 11922 3.91 10221 3.74 8520 4.66 6819 2.39 5118 1.49 11918 3.88 10217 3.76 8517 4.67 6816 2.38 5115 1.49 11915 3.81 10214 3.75 8513 4.77 6812 2.38 5111 1.49 11911 3.74 10210 3.71 8509 4.82 6808 2.37 5107 1.49 11907 3.78 10206 3.68 8505 4.80 6804 2.36 5103 1.49 11903 3.96 10202 3.67 8501 4.72 6800 2.36 5099 1.49 11899 3.99 10198 3.69 8497 4.70 6796 2.35 5095 1.48 11895 3.96 10194 3.71 8493 4.70 6792 2.35 5091 1.48 11891 3.97 10190 3.72 8490 4.67 6789 2.34 5088 1.48 11888 3.96 10187 3.72 8486 4.62 6785 2.33 5084 1.48 11884 3.94 10183 3.71 8482 4.61 6781 2.33 5080 1.48 11880 4.00 10179 3.70 8478 4.66 6777 2.32 5076 1.47 11876 4.05 10175 3.70 8474 4.73 6773 2.32 5072 1.47 11872 4.27 10171 3.72 8470 4.69 6769 2.31 5068 1.47 11868 4.61 10167 3.73 8466 4.64 6765 2.31 5064 1.47 11864 4.42 10163 3.73 8463 4.69 6762 2.30 5061 1.46 11861 4.20 10160 3.70 8459 4.75 6758 2.30 5057 1.46 11857 4.04 10156 3.69 8455 4.74 6754 2.29 5053 1.46 11853 3.86 10152 3.69 8451 4.69 6750 2.29 5049 1.46 11849 3.81 10148 3.71 8447 4.64 6746 2.28 5045 1.46 11845 3.86 10144 3.73 8443 4.63 6742 2.27 5041 1.46 11841 3.94 10140 3.76 8439 4.65 6738 2.27 5037 1.46 11837 4.07 10136 3.78 8436 4.70 6735 2.26 5034 1.46 11834 4.08 10133 3.78 8432 4.79 6731 2.26 5030 1.46 11830 4.09 10129 3.77 8428 4.81 6727 2.25 5026 1.46 11826 4.14 10125 3.77 8424 4.81 6723 2.25 5022 1.45 11822 4.02 10121 3.76 8420 4.87 6719 2.24 5018 1.45 11818 3.97 10117 3.75 8416 5.01 6715 2.24 5014 1.45 11814 4.02 10113 3.74 8412 5.00 6711 2.23 5010 1.45 11810 4.04 10109 3.73 8409 4.90 6708 2.23 5007 1.45 11807 4.02 10106 3.74 8405 4.80 6704 2.22 5003 1.45 11803 4.07 10102 3.77 8401 4.75 6700 2.22 4999 1.46 11799 4.07 10098 3.79 8397 4.75 6696 2.21 4995 1.46 11795 4.06 10094 3.78 8393 4.78 6692 2.21 4991 1.46 11791 4.20 10090 3.75 8389 4.83 6688 2.20 4987 1.46 11787 4.39 10086 3.74 8385 4.84 6684 2.20 4983 1.46 11783 4.40 10082 3.75 8382 4.82 6681 2.19 4980 1.46 11780 4.56 10079 3.76 8378 4.78 6677 2.19 4976 1.45 11776 4.47 10075 3.74 8374 4.79 6673 2.18 4972 1.45 11772 4.35 10071 3.72 8370 4.85 6669 2.18 4968 1.45 11768 4.22 10067 3.70 8366 4.83 6665 2.17 4964 1.44 11764 4.20 10063 3.72 8362 4.85 6661 2.17 4960 1.44 11760 4.23 10059 3.75 8358 4.93 6657 2.16 4956 1.43 11756 4.30 10055 3.76 8355 4.96 6654 2.16 4953 1.43 11753 4.19 10052 3.74 8351 4.83 6650 2.15 4949 1.42 11749 4.19 10048 3.74 8347 4.74 6646 2.15 4945 1.42 11745 4.33 10044 3.77 8343 4.69 6642 2.14 4941 1.41 11741 4.18 10040 3.77 8339 4.62 6638 2.14 4937 1.41 11737 4.32 10036 3.74 8335 4.57 6634 2.13 4933 1.40 11733 4.55 10032 3.72 8331 4.55 6630 2.13 4929 1.40 11729 4.73 10028 3.72 8328 4.55 6627 2.12 4926 1.39 11726 4.57 10025 3.74 8324 4.60 6623 2.12 4922 1.39 11722 4.27 10021 3.78 8320 4.67 6619 2.11 4918 1.38 11718 4.10 10017 3.79 8316 4.69 6615 2.11 4914 1.38 11714 3.95 10013 3.75 8312 4.68 6611 2.10 4910 1.37 11710 3.89 10009 3.73 8308 4.69 6607 2.10 4906 1.37 11706 3.95 10005 3.75 8304 4.78 6603 2.10 4902 1.37 11702 4.28 10002 3.78 8301 4.87 6600 2.09 4899 1.37 11699 4.64 9998 3.77 8297 4.83 6596 2.09 4895 1.36 11695 4.43 9994 3.76 8293 4.67 6592 2.08 4891 1.36 11691 4.72 9990 3.74 8289 4.58 6588 2.08 4887 1.36 11687 4.44 9986 3.73 8285 4.60 6584 2.07 4883 1.35 11683 4.25 9982 3.73 8281 4.70 6580 2.07 4879 1.35 11679 4.11 9978 3.73 8277 4.79 6576 2.07 4875 1.35 11675 4.09 9975 3.73 8274 4.77 6573 2.06 4872 1.35 11672 4.37 9971 3.74 8270 4.67 6569 2.06 4868 1.34 11668 4.27 9967 3.76 8266 4.60 6565 2.05 4864 1.34 11664 4.00 9963 3.78 8262 4.61 6561 2.05 4860 1.33 11660 3.93 9959 3.78 8258 4.69 6557 2.04 4856 1.33 11656 4.02 9955 3.75 8254 4.68 6553 2.04 4852 1.33 11652 4.34 9951 3.74 8250 4.64 6549 2.04 4848 1.32 11648 4.36 9948 3.75 8247 4.71 6546 2.03 4845 1.32 11645 4.32 9944 3.78 8243 4.74 6542 2.03 4841 1.31 11641 4.45 9940 3.78 8239 4.65 6538 2.02 4837 1.31 11637 4.11 9936 3.76 8235 4.61 6534 2.02 4833 1.31 11633 4.08 9932 3.76 8231 4.63 6530 2.02 4829 1.30 11629 4.20 9928 3.76 8227 4.62 6526 2.01 4825 1.30 11625 4.41 9924 3.74 8223 4.55 6522 2.01 4821 1.30 11621 4.46 9921 3.73 8220 4.51 6519 2.00 4818 1.30 11618 4.15 9917 3.74 8216 4.55 6515 2.00 4814 1.30 11614 4.07 9913 3.76 8212 4.60 6511 2.00 4810 1.30 11610 4.15 9909 3.78 8208 4.58 6507 1.99 4806 1.29 11606 4.37 9905 3.81 8204 4.52 6503 1.99 4802 1.29 11602 4.36 9901 3.80 8200 4.48 6499 1.98 4798 1.29 11598 4.17 9897 3.76 8196 4.43 6495 1.98 4794 1.29 11594 4.23 9894 3.72 8193 4.39 6492 1.97 4791 1.29 11591 4.46 9890 3.71 8189 4.35 6488 1.97 4787 1.29 11587 4.48 9886 3.71 8185 4.32 6484 1.97 4783 1.29 11583 4.38 9882 3.72 8181 4.31 6480 1.96 4779 1.29 11579 4.48 9878 3.74 8177 4.31 6476 1.96 4775 1.29 11575 4.52 9874 3.75 8173 4.30 6472 1.95 4771 1.29 11571 4.28 9870 3.75 8169 4.29 6468 1.95 4767 1.29 11567 4.02 9867 3.75 8166 4.30 6465 1.94 4764 1.29 11564 3.95 9863 3.76 8162 4.30 6461 1.94 4760 1.29 11560 3.94 9859 3.76 8158 4.30 6457 1.93 4756 1.29 11556 3.90 9855 3.75 8154 4.29 6453 1.93 4752 1.29 11552 3.92 9851 3.73 8150 4.29 6449 1.93 4748 1.29 11548 4.03 9847 3.71 8146 4.30 6445 1.92 4744 1.29 11544 4.17 9843 3.70 8142 4.28 6441 1.92 4740 1.29 11540 4.25 9840 3.69 8139 4.22 6438 1.91 4737 1.29 11537 4.18 9836 3.69 8135 4.18 6434 1.91 4733 1.29 11533 4.21 9832 3.69 8131 4.18 6430 1.91 4729 1.29 11529 4.37 9828 3.69 8127 4.19 6426 1.90 4725 1.29 11525 4.25 9824 3.68 8123 4.18 6422 1.90 4721 1.29 11521 4.06 9820 3.68 8119 4.16 6418 1.90 4717 1.29 11517 3.93 9816 3.70 8115 4.13 6414 1.89 4713 1.29 11513 3.93 9813 3.71 8112 4.11 6411 1.89 4710 1.30 11510 3.97 9809 3.70 8108 4.10 6407 1.88 4706 1.30 11506 4.00 9805 3.70 8104 4.11 6403 1.88 4702 1.31 11502 4.01 9801 3.71 8100 4.12 6399 1.88 4698 1.32 11498 4.03 9797 3.71 8096 4.11 6395 1.87 4694 1.33 11494 4.08 9793 3.70 8092 4.11 6391 1.87 4690 1.35 11490 4.19 9789 3.69 8088 4.11 6387 1.87 4686 1.36 11486 4.20 9786 3.68 8085 4.10 6384 1.86 4683 1.38 11483 4.15 9782 3.68 8081 4.08 6380 1.86 4679 1.41 11479 3.97 9778 3.69 8077 4.05 6376 1.86 4675 1.44 11475 4.05 9774 3.70 8073 4.05 6372 1.85 4671 1.46 11471 4.35 9770 3.69 8069 4.05 6368 1.85 4667 1.48 11467 4.31 9766 3.67 8065 4.05 6364 1.85 4663 1.50 11463 4.33 9762 3.67 8061 4.04 6360 1.84 4659 1.51 11459 4.36 9759 3.68 8058 4.02 6357 1.84 4656 1.53 11456 4.23 9755 3.69 8054 3.99 6353 1.84 4652 1.54 11452 4.12 9751 3.69 8050 3.99 6349 1.83 4648 1.56 11448 3.97 9747 3.70 8046 4.00 6345 1.83 4644 1.57 11444 3.94 9743 3.72 8042 4.01 6341 1.83 4640 1.59 11440 3.95 9739 3.72 8038 3.99 6337 1.82 4636 1.60 11436 3.94 9735 3.71 8034 3.98 6333 1.82 4632 1.61 11432 3.99 9732 3.70 8031 3.98 6330 1.82 4629 1.63 11429 4.12 9728 3.70 8027 3.96 6326 1.81 4625 1.64 11425 4.19 9724 3.70 8023 3.94 6322 1.81 4621 1.66 11421 4.07 9720 3.69 8019 3.92 6318 1.81 4617 1.67 11417 3.97 9716 3.68 8015 3.92 6314 1.81 4613 1.69 11413 3.91 9712 3.67 8011 3.93 6310 1.80 4609 1.70 11409 3.88 9708 3.68 8007 3.93 6306 1.80 4605 1.71 11405 3.88 9705 3.67 8004 3.93 6303 1.80 4602 1.71 11402 3.91 9701 3.66 8000 3.91 6299 1.79 4598 1.71 11398 4.03 9697 3.66 7996 3.89 6295 1.79 4594 1.71 11394 4.18 9693 3.67 7992 3.87 6291 1.79 4590 1.70 11390 4.22 9689 3.68 7988 3.86 6287 1.78 4586 1.69 11386 4.10 9685 3.69 7984 3.85 6283 1.78 4582 1.68 11382 4.00 9681 3.71 7980 3.85 6279 1.78 4578 1.67 11378 4.02 9678 3.70 7977 3.86 6276 1.78 4575 1.66 11375 4.12 9674 3.68 7973 3.87 6272 1.77 4571 1.65 11371 4.11 9670 3.67 7969 3.86 6268 1.77 4567 1.64 11367 3.99 9666 3.66 7965 3.85 6264 1.77 4563 1.63 11363 3.93 9662 3.66 7961 3.83 6260 1.77 4559 1.63 11359 3.98 9658 3.66 7957 3.81 6256 1.76 4555 1.62 11355 4.07 9654 3.65 7953 3.81 6252 1.76 4551 1.63 11351 4.08 9651 3.64 7950 3.81 6249 1.76 4548 1.63 11348 4.05 9647 3.65 7946 3.81 6245 1.76 4544 1.63 11344 4.00 9643 3.67 7942 3.80 6241 1.75 4540 1.63 11340 3.94 9639 3.68 7938 3.79 6237 1.75 4536 1.64 11336 3.92 9635 3.68 7934 3.78 6233 1.75 4532 1.65 11332 4.02 9631 3.68 7930 3.77 6229 1.75 4528 1.66 11328 4.02 9627 3.68 7926 3.75 6225 1.74 4524 1.67 11324 3.99 9624 3.69 7923 3.73 6222 1.74 4521 1.68 11321 3.99 9620 3.69 7919 3.73 6218 1.74 4517 1.69 11317 3.96 9616 3.68 7915 3.73 6214 1.74 4513 1.70 11313 3.86 9612 3.68 7911 3.74 6210 1.74 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