CN111101925A - Method for evaluating scaling trend of water injection well - Google Patents

Method for evaluating scaling trend of water injection well Download PDF

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CN111101925A
CN111101925A CN201911170132.8A CN201911170132A CN111101925A CN 111101925 A CN111101925 A CN 111101925A CN 201911170132 A CN201911170132 A CN 201911170132A CN 111101925 A CN111101925 A CN 111101925A
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李年银
张昊天
康佳
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Southwest Petroleum University
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Abstract

The invention discloses a method for evaluating the scaling tendency of a water injection well, which comprises the following steps: s1, establishing a stratum pressure field model by calculating stratum pressure at any point among multiple wells; s2, establishing a formation temperature field model through the heat exchange process between the fluid and the rock and the heat exchange process between the inner parts of the unit bodies; s3, establishing a random normal distribution and permeability model of the initial porosity of the stratum; s4, establishing a scaling prediction model: and predicting the change of the scale distribution range, the scale amount, the scale distribution and the porosity by using a scale prediction model. The invention predicts the scaling trend by establishing the scaling prediction model, so that the scaling trend of the water injection well can be predicted, thereby carrying out accurate scale prevention and ensuring the long-term stable production of the oil and gas well.

Description

Method for evaluating scaling trend of water injection well
Technical Field
The invention relates to the technical field of oilfield development, in particular to a method for evaluating scaling tendency of a water injection well.
Background
As oil field development continues, the natural energy on which oil and gas are produced is depleted. More and more oil fields supplement and recover energy on the ground in a water injection mode, so that the pressure of an oil reservoir is kept, and the effects of stabilizing the yield for a long time and improving the oil gas recovery ratio are achieved. However, waterflooding development also presents a series of problems, with fouling being one of the most serious.
The oil field scaling refers to a deposition substance caused by various reasons in an underground reservoir, a well shaft of an oil production well, a casing, a production oil pipe, underground well completion equipment, surface oil and gas gathering and transportation equipment and pipelines in the production process of the oil field, and the oil in the pipelines is blocked due to the generation of the scaling, so that the smooth operation of oil production is prevented. The scaling phenomenon is a phenomenon commonly existing in the production process of an oil field, is commonly existing in each link of the production process of the oil field, and can also occur in any position of a water system of the oil field, such as underground reservoirs, pump and oil well shafts and pipelines of ground oil and gas gathering and transportation equipment, and inorganic salt scaling can be generated, so that great harm is brought to oil and gas exploitation, and unnecessary loss is caused.
In the process of oilfield water injection, because water in the water injection well stratum contains barium ions, strontium ions and calcium ions, and injected water contains sulfate radicals or bicarbonate ions, the barium ions, the strontium ions and the calcium ions are mixed in the water injection well stratum to generate insoluble barium sulfate scale and calcium sulfate scale which are easy to block the stratum, so that the pressure of the water injection well is increased, and the water injection is not performed or is insufficient. In the prior art, scale removal and blockage removal are generally carried out by adopting injection increasing measures such as acidification, fracturing and the like, but effective prediction of scaling tendency is lacked, the reason for blockage generation cannot be timely and effectively determined, and blind construction is carried out, so that a plurality of negative effects are brought.
Disclosure of Invention
Aiming at the problems, the invention provides a method for evaluating the scaling trend of a water injection well, which predicts the scaling trend by establishing a scaling prediction model so that the scaling trend of the water injection well can be predicted.
The invention adopts the following technical scheme:
a method of evaluating a water injection well for scaling tendency, comprising the steps of:
s1, establishing a stratum pressure field model by calculating stratum pressure at any point among multiple wells;
s2, establishing a formation temperature field model through the heat exchange process between the fluid and the rock and the heat exchange process between the inner parts of the unit bodies;
s3, establishing a random normal distribution and permeability model of the initial porosity of the stratum;
s4, establishing a scaling prediction model: and predicting the change of the scale distribution range, the scale amount, the scale distribution and the porosity by using a scale prediction model.
Preferably, the conditions for establishing the prediction model are as follows:
(1) the solid phase and the liquid phase can not be compressed and do not generate chemical reaction with each other;
(2) and without considering the influence of capillary force and gravity;
(3) the thickness of the stratum is not changed;
(4) neglecting thermal motion caused by fluid kinetic energy change and viscosity dissipation;
(5) water flooding formation pressures are generally greater than the crude oil bubble point pressure, thus ignoring the presence of gas phases.
Preferably, in step S1, the calculation formula of the formation pressure at any point between multiple wells is:
Figure BDA0002288478530000021
wherein M is K · Krw/μ.
Preferably, the formation temperature field model is:
Figure BDA0002288478530000022
wherein:
Figure BDA0002288478530000031
in the formula, TjFormation temperature, C, without taking into account the exotherm of the acid-rock reaction.
Preferably, the porosity random normal distribution model is as follows:
Figure BDA0002288478530000032
in the formula, phi0Initial porosity, dimensionless; phi is the porosity after corrosion without dimension; g is an array conforming to random normal distribution, the range is-1 to 1, and the dimension is zero; sigma is a standard deviation coefficient, the value range is 0-1, and the dimension is zero.
Preferably, the fouling prediction model is:
Is=log(Fs)=log{[Me][An]/Kc(t,P,Si)}
or
Is=log{[Me][An]+PKc(t,P,Si)}
Figure BDA0002288478530000033
Wherein t is temperature, P is pressure, and Si is ionic strength;
the standard for judging whether scale is generated is as follows:
when Is 0, the solution Is in equilibrium with the solid scale;
when Is more than 0, supersaturation state Is shown, and scaling can be formed;
when Is < 0, it means an undersaturated state and scale formation Is not possible.
Preferably, the fouling distribution range is a range between a maximum distance and a minimum distance of the fouling from the well bore, and the calculation formula is as follows:
maximum distance of scale from wellbore:
log{[Me][An]/Kc(T(i,j)max,P(i,j)min,Si)}=0
minimum distance of scale from wellbore:
log{[Me][An]/Kc(T(i,j)min,P(i,j)min,Si)}=0
wherein [ Me ] is the cation activity and [ An ] is the anion activity.
Preferably, the formula for calculating the fouling amount is as follows:
Figure BDA0002288478530000041
in the formula (I), the compound is shown in the specification,
Figure BDA0002288478530000042
in order to inject the cation concentration, g/L;
Figure BDA0002288478530000043
g/L is the concentration of extracted cations; mMeIs the cation relative molecular mass; m is the relative molecular mass of the scale.
Preferably, the calculation formula of the fouling distribution is as follows:
Figure BDA0002288478530000044
Figure BDA0002288478530000045
Figure BDA0002288478530000047
preferably, the formula of the change of the porosity is as follows:
Figure BDA0002288478530000046
the invention has the beneficial effects that:
the invention predicts the scaling trend by establishing the scaling prediction model, so that the scaling trend of the water injection well can be predicted, thereby carrying out accurate scale prevention and ensuring the long-term stable production of the oil and gas well.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings of the embodiments will be briefly described below, and it is apparent that the drawings in the following description only relate to some embodiments of the present invention and are not limiting on the present invention.
FIG. 1 is a cloud plot of the target well pressure distribution range of the present invention;
FIG. 2 is a cloud of target well temperature profiles in accordance with the present invention;
FIG. 3 is a cloud of target well scale distributions of the present invention;
FIG. 4 shows a target well Ca of the present invention2+A concentration distribution cloud;
FIG. 5 is a schematic illustration of the cumulative amount of scale formation for a target well according to the present invention;
FIG. 6 is a schematic illustration of a target well fouling distribution range according to the present invention;
FIG. 7 is a schematic view of the change in the target well apparent water absorption index of the present invention;
FIG. 8 is a schematic illustration of the amount of fouling along an adjacent well for a target well of the present invention;
FIG. 9 is a schematic of the permeability of a target well of the present invention along an adjacent well;
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the drawings of the embodiments of the present invention. It is to be understood that the embodiments described are only a few embodiments of the present invention, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the described embodiments of the invention without any inventive step, are within the scope of protection of the invention.
Unless otherwise defined, technical or scientific terms used herein shall have the ordinary meaning as understood by one of ordinary skill in the art to which this disclosure belongs. The use of the word "comprising" or "comprises", and the like, in this disclosure is intended to mean that the elements or items listed before that word, include the elements or items listed after that word, and their equivalents, without excluding other elements or items. "upper", "lower", "left", "right", and the like are used merely to indicate relative positional relationships, and when the absolute position of the object being described is changed, the relative positional relationships may also be changed accordingly.
The invention is further illustrated with reference to the following figures and examples.
As shown in fig. 1 to 9, a method for evaluating a water injection well fouling tendency includes the steps of:
s1, establishing a stratum pressure field model by calculating stratum pressure at any point among multiple wells;
the water injection well is considered to have a constant injection pressure, i.e. a stable production dynamics. According to Darcy's law, there are
Figure BDA0002288478530000061
For any well in the formation, the flow area a at any distance r is 2 π rh, then the above equation becomes:
Figure BDA0002288478530000062
let Q be constant, separate the variables and integrate to get:
Figure BDA0002288478530000063
for oil production wells
Figure BDA0002288478530000064
For water injection well
Figure BDA0002288478530000065
According to the principle of potential superposition, multiple wells are produced simultaneously, and the pressure of each point in the stratum is
P=P1+P2+···+Pn-(n-1)Pe(6)
In the formula:
Figure BDA0002288478530000066
substituting the formula (7) into the formula (6) to obtain an expression of the formation pressure at any point in the formation when multiple wells are simultaneously produced, wherein the expression is as follows:
Figure BDA0002288478530000067
from equation (8), the bottom hole flow pressure of the first well is
Figure BDA0002288478530000068
Subtracting the formula (9) from the formula (8), and calculating the formation pressure at any point between the multiple wells:
Figure BDA0002288478530000071
taking M as K.Krw/mu, the formula (10) is converted into
Figure BDA0002288478530000072
S2, establishing a formation temperature field model through the heat exchange process between the fluid and the rock and the heat exchange process between the inner parts of the unit bodies;
the heat exchange process of the simulated minimum unit body i is divided into two parts, one part is the heat exchange process between the fluid and the rock, and the other part is the heat exchange process between the inner parts of the unit bodies.
(1) And heat exchange inside the unit body
The heat transferred into the unit body on the left side is as follows:
Figure BDA0002288478530000073
the right side outlet unit body heat is:
Figure BDA0002288478530000074
(2) heat exchange between fluid and rock
The left inflow cell body heat is:
ρLvrrθHCLT (14)
the right outflow unit body heat is:
Figure BDA0002288478530000075
(3) unit body unit time heat quantity change
Figure BDA0002288478530000076
From the heat balance equation:
Figure BDA0002288478530000081
in the formula, vwtThe apparent flow velocity of the liquid at the well wall is m/min; v. ofrThe liquid inflow radial velocity is m/min; t is the radial temperature of the reservoir, DEG C; lambda [ alpha ]LThe heat conductivity coefficient of the injection liquid, kcal/(m-min. DEG C); cLThe specific heat of the injection liquid, kcal/(kg DEG C); lambda [ alpha ]rIs the formation rock thermal conductivity coefficient, kcal/(m.min. DEG C); rhorIs the density of stratum rock in kg/m3;CrIs the specific heat of formation rock, kcal/(kg ℃); h is the layer thickness, m.
The simplified formula (17) is:
Figure BDA0002288478530000082
wherein:
Figure BDA0002288478530000083
in the formula, TjThe formation temperature, in degrees c, is not considered for the exothermic acid-rock reaction.
S3, establishing a random normal distribution and permeability model of the initial porosity of the stratum;
establishing a porosity random normal distribution model:
Figure BDA0002288478530000084
the change in physical properties in the pore medium is characterized according to the semi-empirical relationship of Garman-Kozeny:
Figure BDA0002288478530000085
in the formula: phi is a0-initial porosity, dimensionless; phi-porosity after erosion, dimensionless; k0-initial permeability, mD, K-permeability after erosion, mD, β -experimentally measured value, dimensionless, G-array according to random normal distribution, range-1, dimensionless, σ -standard deviation coefficient, value range 0-1, dimensionless;
s4, establishing a scaling prediction model: and predicting the change of the scale distribution range, the scale amount, the scale distribution and the porosity by using a scale prediction model.
The conditions for establishing the prediction model are as follows:
(1) the solid phase and the liquid phase can not be compressed and do not generate chemical reaction with each other;
(2) and without considering the influence of capillary force and gravity;
(3) the thickness of the stratum is not changed;
(4) neglecting thermal motion caused by fluid kinetic energy change and viscosity dissipation;
(5) water flooding formation pressures are generally greater than the crude oil bubble point pressure, thus ignoring the presence of gas phases.
And solving a saturation index according to the saturation ratio. The saturation ratio is the ratio of the activity product to the solubility product of the ions, as follows:
FS=[Me][An]/Ksp (21)
wherein [ Me ] is the cation activity, [ An ] is the anion activity, and Ksp is the solubility product of the substance.
Since activity is the product of the activity coefficient, which is a function of temperature, pressure and ionic strength, and concentration, and the solubility product is a function of temperature, pressure and ionic strength, the solubility product coefficient Kc is used in the prediction equation.
The saturation index Is introduced from the formula (21), and the formula becomes.
Is=log(Fs)=log{[Me][An]/Kc(t,P,Si)} (22)
Or
Is=log{[Me][An]+PKc(t,P,Si)} (23)
Figure BDA0002288478530000091
Wherein t is temperature, P is pressure, and Si is ionic strength;
the standard for judging whether scale is generated is as follows:
when Is 0, the solution Is in equilibrium with the solid scale;
when Is more than 0, supersaturation state Is shown, and scaling can be formed;
when Is < 0, it means an undersaturated state and scale formation Is not possible.
There are two cases for the model:
(1) in the presence of a gas phase, the equation is as follows:
Figure BDA0002288478530000101
Figure BDA0002288478530000102
Figure BDA0002288478530000103
(2) when no gas phase exists, the equation is shown below.
Figure BDA0002288478530000104
Figure BDA0002288478530000105
Figure BDA0002288478530000106
[Ca2+]The concentration of calcium ions in water is mol/L;
Figure BDA0002288478530000107
the concentration of bicarbonate ion in water is mol/L;
Figure BDA0002288478530000108
is at CH4And CO2In the mixed gas (wherein CO)2Low content) of CO2Ease factor of (d);
Figure BDA0002288478530000109
is prepared from CO under certain conditions of temperature and pressure2Content in the gas phase, mol% or%;
Figure BDA00022884785300001010
for CO under ground conditions2Content in gas, oil, salt water mixed system, mol% or; qgThe total amount of gas produced daily under standard temperature and pressure conditions, 106m3
Figure BDA00022884785300001011
For daily CO production in brine and oil2Content, mol/L; qwM is the amount of water taken out per day3;QoM is the amount of oil produced per day3
Figure BDA00022884785300001012
Is CO produced daily under standard temperature and pressure conditions2Gas volume, 106m3
(1) Scale distribution range
The scale distribution range of the water injection well is the range between the maximum distance and the minimum distance of the scale from the shaft, and is obtained by the following formula:
log{[Me][An]/Kc(T(i,j)max,P(i,j)min,Si)}=0 (31)
log{[Me][An]/Kc(T(i,j)min,P(i,j)min,Si)}=0 (32)
(2) amount of scale formation
The scaling amount of the water injection well has important significance on the using amount of the scale inhibitor, and the scaling weight can be obtained by the following formula:
Figure BDA0002288478530000111
in the formula (I), the compound is shown in the specification,
Figure BDA0002288478530000112
in order to inject the cation concentration, g/L;
Figure BDA0002288478530000113
g/L is the concentration of extracted cations; mMeIs the cation relative molecular mass; m is the relative molecular mass of the scale.
(3) Fouling distribution
The scale deposit of water injection well distributes and mainly masters the scale deposit volume of each department, masters each point jam condition, judges the biggest scale deposit point, and its accessible following formula is solved:
Figure BDA0002288478530000114
Figure BDA0002288478530000115
Figure BDA0002288478530000116
(4) change in porosity
The blocking condition of the stratum caused by scaling is obtained by the following formula:
Figure BDA0002288478530000117
the scale inhibitor used in the prior art has the action mechanism that anions of the scale inhibitor and scale forming cations in water form five-membered or six-membered chelate rings to seal metal ions, prevent the metal ions from contacting with other anions in the water to generate scale forming substances, and increase the saturated solubility of insoluble substances in the water, thereby playing a role in scale inhibition.
According to the conservation of mass:
Figure BDA0002288478530000121
the introduction of the average scale inhibition rate can obtain:
Figure BDA0002288478530000122
the scale inhibition rate is related to temperature and pressure, and the two factors are introduced:
Figure BDA0002288478530000123
and (4) drawing the scale inhibition rate under different temperature and pressure according to an indoor experimental method, and carrying out the above formula.
The first-order partial differential equation and the second-order partial differential equation are discretized by utilizing finite difference, and a numerical method is utilized to implicitly solve the discrete solution on each grid node, namely the dynamic changes of the formation pressure P (i, j, T), the temperature T (i, j, T) and the concentration C (i, j, T) of the scaling ions along with the time and the distance. And substituting the calculation results of P (i, j, T), T (i, j, T) and C (i, j, T) into the scaling model and the scale inhibition model to obtain the dynamic change of the saturation index Is along with time and distance, namely Is (i, j, T), and judging the scaling trend of the oil field water according to the critical saturation index. When the scaling exists, the scaling amount W (i, j) in the unit body and the concentration of the outflowing cations are calculated, the porosity change is solved through a porosity change model, the permeability change is solved according to a Garman-Kozeny semi-empirical relation, and then the flow of the next point is calculated according to the permeability distribution of the nearby points. And then entering a cycle calculation until the minimum fouling concentration is reached.
Examples
Figure BDA0002288478530000124
Figure BDA0002288478530000131
TABLE 1 target formation Property parameters
As shown in table 1 and fig. 1 to 4 (target daily water injection rate of 70 cubic meters, total water injection production time of 3 years, and scale inhibitor used in two and a half years), the pressure is reduced from the water injection well mainly along the direction of the oil well, the temperature change is mainly concentrated in a range of about 10m from the well bore, and the temperature of the injected water reaches the original temperature of the formation through heat exchange in the interval, and the temperature of the formation cannot be reduced by extending the temperature outward. The temperature variation range is too small, the temperature is a main influence factor of the scaling, the scaling distribution is determined to be in a smaller range, if the result is not convenient to observe from the whole injection-production unit, and the scaling simulation result is displayed only in a range of 10m around the shaft of the water injection well. Ca2+The water injection well is firstly unchanged along the direction of the oil well, then slowly reduced, then rapidly reduced and finally tends to be unchanged; the scale is distributed in the range of 2-8m from the well shaft of the water injection well, and is mainly distributed in about 5 m.
As shown in fig. 5 to 9, the amount of scale formation increases linearly, and the maximum amount of scale formation is about 5m from the wellbore. After the scale remover is added, anions of the scale remover and scale forming cations in water form five-membered or six-membered chelate rings to seal metal ions, so that the metal ions are prevented from contacting with other anions in the water to generate scale forming substances, the saturated solubility of insoluble substances in the water is increased, the scaling is obviously slowed down, and the accumulated scaling speed is reduced to 9.32 kg/month from 33.3 kg/month; the water absorption index is decreased in a negative index, the water absorption capacity of an oil storage layer is mainly characterized, pores are blocked due to continuous scaling, the formation permeability is decreased continuously, water injection is difficult, if the injection amount is kept unchanged, the water injection pressure needs to be increased continuously, and the cost, the construction difficulty and the risk are increased. As the stratum set in the model is heterogeneous, the scaling amount in each direction is different, and the water injection well is selected to study scaling characteristics along the radial direction of the adjacent well. The scale formation is generated at a position about 2m away from a shaft, mainly because the temperature of injected water is low, the formation temperature of a near-wellbore area is reduced, the temperature is too low, the dissolution equilibrium constant is very small, the scale formation is difficult to generate,in addition, the flow rate of injected water in the near wellbore area is too high, and scale particles are not easy to precipitate, so that the scale is difficult to form; at a distance of about 5m, the formation temperature is high, the flow velocity of injected water is greatly slowed down, and the scale forming is the best place, so a large amount of scale is generated; about 8m, Ca2+The concentration reaches the minimum fouling concentration so no fouling occurs. After the scale inhibitor is added, the highest scaling amount is reduced from 799g/L to 691g/L, and the lowest permeability is reduced from 61X 10-3m2Increase to 65 x 10-3m2
Although the present invention has been described with reference to a preferred embodiment, it should be understood that various changes, substitutions and alterations can be made herein without departing from the spirit and scope of the invention as defined by the appended claims.

Claims (10)

1. A method of evaluating a water injection well for scaling tendency, comprising the steps of:
s1, establishing a stratum pressure field model by calculating stratum pressure at any point among multiple wells;
s2, establishing a formation temperature field model through the heat exchange process between the fluid and the rock and the heat exchange process between the inner parts of the unit bodies;
s3, establishing a random normal distribution and permeability model of the initial porosity of the stratum;
s4, establishing a scaling prediction model: and predicting the change of the scale distribution range, the scale amount, the scale distribution and the porosity by using a scale prediction model.
2. The method for evaluating the scaling tendency of the water injection well according to the claim 1, characterized in that the prediction model is established under the conditions of:
(1) the solid phase and the liquid phase can not be compressed and do not generate chemical reaction with each other;
(2) and without considering the influence of capillary force and gravity;
(3) the thickness of the stratum is not changed;
(4) neglecting thermal motion caused by fluid kinetic energy change and viscosity dissipation;
(5) ignoring the presence of a gas phase.
3. The method for evaluating the scaling tendency of a water injection well according to claim 1, wherein in step S1, the calculation formula of the formation pressure at any point between multiple wells is:
Figure FDA0002288478520000011
wherein M is K · Krw/μ.
4. The method of claim 1, wherein the formation temperature field model is:
Figure FDA0002288478520000012
wherein:
Figure FDA0002288478520000021
in the formula, TjFormation temperature, C, without taking into account the exotherm of the acid-rock reaction.
5. The method for evaluating the scaling tendency of the water injection well according to the claim 1, wherein the porosity random normal distribution model is as follows:
Figure FDA0002288478520000022
in the formula, phi0Is initial porosity, noneThe order of the factors; phi is the porosity after corrosion without dimension; g is an array conforming to random normal distribution, the range is-1 to 1, and the dimension is zero; sigma is a standard deviation coefficient, the value range is 0-1, and the dimension is zero.
6. The method for evaluating the scaling tendency of the water injection well according to any one of the claims 1 or 2, characterized in that the scaling prediction model is:
Is=log(Fs)=log{[Me][An]/Kc(t,P,Si)}
or
Is=log{[Me][An]+PKc(t,P,Si)}
Figure FDA0002288478520000023
Wherein t is temperature, P is pressure, and Si is ionic strength;
the standard for judging whether scale is generated is as follows:
when Is 0, the solution Is in equilibrium with the solid scale;
when Is more than 0, supersaturation state Is shown, and scaling can be formed;
when Is < 0, it means an undersaturated state and scale formation Is not possible.
7. The method for evaluating the scaling tendency of the water injection well according to the claim 6, wherein the scaling distribution range is the range between the maximum distance and the minimum distance of the scaling from the well bore, and the calculation formula is as follows:
maximum distance of scale from wellbore:
log{[Me][An]/Kc(T(i,j)max,P(i,j)min,Si)}=0
minimum distance of scale from wellbore:
log{[Me][An]/Kc(T(i,j)min,P(i,j)min,Si)}=0
wherein [ Me ] is the cation activity and [ An ] is the anion activity.
8. The method for evaluating the scaling tendency of the water injection well according to the claim 6, wherein the scaling amount is calculated by the formula:
Figure FDA0002288478520000031
in the formula (I), the compound is shown in the specification,
Figure FDA0002288478520000032
in order to inject the cation concentration, g/L;
Figure FDA0002288478520000033
g/L is the concentration of extracted cations; mMeIs the cation relative molecular mass; m is the relative molecular mass of the scale.
9. The method for evaluating the scaling tendency of the water injection well according to the claim 6, wherein the scaling distribution is calculated by the formula:
Figure FDA0002288478520000034
Figure FDA0002288478520000035
Figure FDA0002288478520000036
10. the method for evaluating the scaling tendency of the water injection well according to the claim 6, wherein the variation formula of the porosity is as follows:
Figure FDA0002288478520000037
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