CN112392477A - Single-well potential rapid prediction method - Google Patents

Single-well potential rapid prediction method Download PDF

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CN112392477A
CN112392477A CN202011407658.6A CN202011407658A CN112392477A CN 112392477 A CN112392477 A CN 112392477A CN 202011407658 A CN202011407658 A CN 202011407658A CN 112392477 A CN112392477 A CN 112392477A
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安文宏
石小虎
张建国
刘海锋
夏勇
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Abstract

The invention belongs to the technical field of oil and gas fields, and particularly provides a single-well potential rapid prediction method, which comprises the following steps: obtaining a permeability constant, a saturation constant, a formation static pressure constant and a sandstone thickness constant according to the permeability, the natural gas saturation, the formation static pressure, the sandstone thickness and the porosity of the logging in the target area; establishing a gas production equation by combining the permeability constant, the saturation constant, the formation static pressure constant and the sandstone thickness constant to obtain a gas production constant; the method comprises the steps of obtaining measured values of porosity, natural gas saturation, formation static pressure and sandstone thickness of each interval of a predicted well from a logging data volume, substituting the measured values into a gas production equation to obtain a gas production value, obtaining a gas production condition of the predicted well through the gas production value, and completing prediction.

Description

Single-well potential rapid prediction method
Technical Field
The invention belongs to the technical field of oil and gas fields, and particularly relates to a single-well potential rapid prediction method.
Background
Most of the potential of reservoirs at home and abroad is determined according to the physical properties of the reservoirs, gas testing results and production results, but the potential cannot be rapidly predicted after well completion and well logging; even if it is predicted, it is an empirical value with extremely low accuracy, and it cannot be actually operated and has no reproducibility. Therefore, improvements are needed in the single well potential evaluation methods.
Disclosure of Invention
The invention provides a method for rapidly predicting single well potential, and aims to solve the problems that reservoir potential cannot be rapidly predicted after well completion logging in the prior art, or prediction is an empirical value with extremely low accuracy, actual operation cannot be performed, and reproducibility is unavailable.
Therefore, the invention provides a single-well potential rapid prediction method, which comprises the following steps:
1) establishing a porosity equation according to the porosity and the daily gas production of the well logging in the target area, and acquiring a porosity constant and a related index numerical value of the porosity and the daily gas production;
2) establishing a permeability equation according to the permeability and the daily gas production of the logging in the target area, and acquiring a permeability constant and a relevant index numerical value of the permeability and the daily gas production;
3) establishing a natural gas saturation equation according to the natural gas saturation and the daily gas production of the well logging in the target area, and acquiring a saturation constant, and related index numerical values of the saturation and the daily gas production;
4) establishing a formation static pressure equation according to the formation static pressure and the daily gas production of the logging in the target area, and acquiring a formation static pressure constant and a relevant index numerical value of the formation static pressure and the daily gas production;
5) establishing a sandstone effective thickness equation according to the sandstone effective thickness and the daily gas production of the logging in the target area, and obtaining a sandstone effective thickness constant and a correlation index value of the sandstone effective thickness and the daily gas production;
6) selecting and determining evaluation parameters according to the correlation index numerical value of the porosity and the daily gas production, the correlation index numerical value of the permeability and the daily gas production, the correlation index numerical value of the saturation and the daily gas production, the correlation index numerical value of the formation static pressure and the daily gas production, and the correlation index numerical value of the effective thickness of the sandstone and the daily gas production, wherein the evaluation parameters are one or more of the porosity, the permeability, the saturation, the formation static pressure and the effective thickness of the sandstone;
7) establishing a gas production equation according to the determined evaluation parameters and constants of the evaluation parameters;
8) and obtaining the measured value of the evaluation parameters of each interval of the predicted well from the logging data volume, substituting the measured value into a gas production equation to obtain a gas production value, and obtaining the gas production condition of the predicted well according to the gas production value to finish prediction.
Further, the step of establishing a porosity equation comprises:
1) firstly, a scatter plot intersection diagram is made of the porosity and the daily gas production rate of the well logging, then trend fitting is carried out, and a porosity equation and a relevant index numerical value of the porosity and the daily gas production rate are obtained through fitting, wherein the porosity equation is Q ═ L + M phi, phi is the porosity, L and M are constants, and Q is the daily gas production rate;
2) differential derivation of porosity equation dQ ═ a1d Φ wherein a1Is the porosity constant, i.e. the porosity constant is obtained.
Further, the step of establishing a permeability equation comprises:
1) firstly, making a scatter plot intersection diagram of the logging permeability and the daily gas production, then performing trend fitting to obtain a permeability equation and a relevant index numerical value of the permeability and the daily gas production by fitting, wherein the permeability equation is Q ═ A + BK, K is the permeability, A and B are constants, and Q is the daily gas production;
2) differential derivation of permeability equation dQ ═ a2dK, wherein a2And (4) obtaining a permeability constant.
Further, the saturation constant obtaining method includes the following steps:
1) firstly, making a scatter plot intersection diagram of the logging natural gas saturation and the daily gas production, then performing trend fitting to obtain a gas saturation equation and relevant exponential values of the saturation and the daily gas production, wherein the gas saturation equation is Q ═ C + DSg, Sg is the gas saturation, C and D are constants, and Q is the daily gas production;
2) differential derivation of gas saturation equation dQ ═ a3dSg, wherein a3And obtaining the saturation constant.
Further, the method for obtaining the formation static pressure constant comprises the following steps:
1) firstly, making a scattered point intersection diagram for logging formation static pressure and daily gas production, then performing trend fitting to obtain a formation static pressure equation and relevant index numerical values of the formation static pressure and the daily gas production, wherein the formation static pressure equation is Q ═ E + FP, P is the formation static pressure, E and F are constants, and Q is the daily gas production;
2) differential derivation of formation static pressure equation dQ ═ a4dP wherein a4And obtaining the static pressure constant of the stratum.
Further, the method for obtaining the sandstone thickness constant comprises the following steps:
1) firstly, making a scatter plot intersection diagram for logging sandstone effective thickness and daily gas production, then performing trend fitting to obtain a sandstone effective thickness equation and a correlation index numerical value of the sandstone effective thickness and the daily gas production, wherein the sandstone effective thickness equation is Q ═ W + VH, H is the sandstone effective thickness, W and V are constants, and Q is the daily gas production;
2) differential derivation dQ ═ a is carried out on the effective thickness equation of the sandstone5dH, wherein a5And obtaining the effective thickness constant of the sandstone.
Further, the gas production equation is Q ═ a1a2a3a4a5ΦKSgPH+Q0Wherein Q is0Is the gas production constant.
Further, said Q0The gas production equation is required to be substituted into the well logging gas test result to obtain a Q0The number of the well logs is more than three, and more than three Q are obtained0Taking more than three Q0The average value of (1) is a fixed constant, and the fixed constant is the final gas production constant.
Further, the method for determining the evaluation parameter comprises the following steps: establishing a cross plot of the main parameters and the daily gas production, fitting and determining related index values of the main parameters and the daily gas production, wherein when the related index values of the main parameters and the daily gas production are greater than 0.6, the main parameters are evaluation parameters; the main parameters include porosity, permeability, natural gas saturation, formation hydrostatic pressure, and effective thickness of sandstone.
Furthermore, when the relevant index value of the main parameter and the daily gas production is less than 0.6, the parameter and the constant thereof are eliminated when a gas production equation is established
The invention has the beneficial effects that: the method for rapidly predicting the potential of the single well determines evaluation parameters (the evaluation parameters refer to the previously optimized main parameters for evaluating the gas production) by optimizing main parameters (porosity, permeability, natural gas saturation, formation static pressure and sandstone effective thickness) of each interval (the optimization is optimized through a cross plot, and the evaluation parameters are screened according to the related index numerical values of the porosity and the daily gas production, the permeability and the daily gas production, the saturation and the daily gas production, the formation static pressure and the daily gas production and the sandstone effective thickness and the daily gas production), further establishes a gas production equation, obtains the measured values of the evaluation parameters of each interval of the predicted well from the logging data body, substitutes the measured values of the evaluation parameters into the gas production equation to obtain the gas production value, the method is a simple and feasible single-well potential rapid prediction method which is suitable for practical and reliable operation, has good effect after being applied to the east of the Ordors basin, and has small error rate of predicted values and actual values.
Drawings
The present invention will be described in further detail below with reference to the accompanying drawings.
FIG. 1 is a plot of porosity versus daily gas production;
FIG. 2 is a cross plot of permeability versus daily gas production;
FIG. 3 is a cross-plot of gas saturation and daily gas production;
FIG. 4 is a convergence diagram of effective thickness of the rock and daily gas production;
FIG. 5 is a diagram of the intersection of the static pressure of the formation and the daily gas production.
Detailed Description
A single well potential rapid prediction method comprises the following steps:
1) establishing a porosity equation according to the porosity and the daily gas production of the well logging in the target area, and acquiring a porosity constant and a related index numerical value of the porosity and the daily gas production;
2) establishing a permeability equation according to the permeability and the daily gas production of the logging in the target area, and acquiring a permeability constant and a relevant index numerical value of the permeability and the daily gas production;
3) establishing a natural gas saturation equation according to the natural gas saturation and the daily gas production of the well logging in the target area, and acquiring a saturation constant, and related index numerical values of the saturation and the daily gas production;
4) establishing a formation static pressure equation according to the formation static pressure and the daily gas production of the logging in the target area, and acquiring a formation static pressure constant and a relevant index numerical value of the formation static pressure and the daily gas production;
5) establishing a sandstone effective thickness equation according to the sandstone effective thickness and the daily gas production of the logging in the target area, and obtaining a sandstone effective thickness constant and a correlation index value of the sandstone effective thickness and the daily gas production;
6) selecting and determining evaluation parameters according to the correlation index numerical value of the porosity and the daily gas production, the correlation index numerical value of the permeability and the daily gas production, the correlation index numerical value of the saturation and the daily gas production, the correlation index numerical value of the formation static pressure and the daily gas production, and the correlation index numerical value of the effective thickness of the sandstone and the daily gas production, wherein the evaluation parameters are one or more of the porosity, the permeability, the saturation, the formation static pressure and the effective thickness of the sandstone;
7) establishing a gas production equation according to the determined evaluation parameters and constants of the evaluation parameters;
8) and obtaining the measured value of the evaluation parameters of each interval of the predicted well from the logging data volume, substituting the measured value into a gas production equation to obtain a gas production value, and obtaining the gas production condition of the predicted well according to the gas production value to finish prediction.
The method for rapidly predicting the potential of the single well determines evaluation parameters (the evaluation parameters refer to the previously optimized main parameters for evaluating the gas production) by optimizing main parameters (porosity, permeability, natural gas saturation, formation static pressure and sandstone effective thickness) of each interval (the optimization is optimized through a cross plot, and the evaluation parameters are screened according to the related index numerical values of the porosity and the daily gas production, the permeability and the daily gas production, the saturation and the daily gas production, the formation static pressure and the daily gas production and the sandstone effective thickness and the daily gas production), further establishes a gas production equation, obtains the measured values of the evaluation parameters of each interval of the predicted well from the logging data body, substitutes the measured values of the evaluation parameters into the gas production equation to obtain the gas production value, the method is a simple and feasible single-well potential rapid prediction method which is suitable for practical and reliable operation, has good effect after being applied to the east of the Ordors basin, and has small error rate of predicted values and actual values.
Example 2:
on the basis of the embodiment 1, further, the method for determining the evaluation parameters comprises the following steps: establishing a cross plot of the main parameters and the daily gas production, fitting and determining related index values of the main parameters and the daily gas production, wherein when the related index values of the main parameters and the daily gas production are greater than 0.6, the main parameters are evaluation parameters; the main parameters include porosity, permeability, natural gas saturation, formation hydrostatic pressure, and effective thickness of sandstone. The method is simple and convenient.
Further, the step of establishing a porosity equation comprises:
1) firstly, a scatter plot intersection diagram is made of the porosity and the daily gas production rate of the well logging, then trend fitting is carried out, and a porosity equation and a relevant index numerical value of the porosity and the daily gas production rate are obtained through fitting, wherein the porosity equation is Q ═ L + M phi, phi is the porosity, L and M are constants, and Q is the daily gas production rate;
2) differential derivation of porosity equation dQ ═a1d Φ wherein a1Is the porosity constant, i.e. the porosity constant is obtained.
Further, the step of establishing a permeability equation comprises:
1) firstly, making a scatter plot intersection diagram of the logging permeability and the daily gas production, then performing trend fitting to obtain a permeability equation and a relevant index numerical value of the permeability and the daily gas production by fitting, wherein the permeability equation is Q ═ A + BK, K is the permeability, A and B are constants, and Q is the daily gas production;
2) differential derivation of permeability equation dQ ═ a2dK, wherein a2And (4) obtaining a permeability constant.
Further, the saturation constant obtaining method includes the following steps:
1) firstly, making a scatter plot intersection diagram of the logging natural gas saturation and the daily gas production, then performing trend fitting to obtain a gas saturation equation and relevant exponential values of the saturation and the daily gas production, wherein the gas saturation equation is Q ═ C + DSg, Sg is the gas saturation, C and D are constants, and Q is the daily gas production;
2) differential derivation of gas saturation equation dQ ═ a3dSg, wherein a3And obtaining the saturation constant.
Further, the method for obtaining the formation static pressure constant comprises the following steps:
1) firstly, making a scattered point intersection diagram for logging formation static pressure and daily gas production, then performing trend fitting to obtain a formation static pressure equation and relevant index numerical values of the formation static pressure and the daily gas production, wherein the formation static pressure equation is Q ═ E + FP, P is the formation static pressure, E and F are constants, and Q is the daily gas production;
2) differential derivation of formation static pressure equation dQ ═ a4dP wherein a4And obtaining the static pressure constant of the stratum.
Further, the method for obtaining the sandstone thickness constant comprises the following steps:
1) firstly, making a scatter plot intersection diagram for logging sandstone effective thickness and daily gas production, then performing trend fitting to obtain a sandstone effective thickness equation and a correlation index numerical value of the sandstone effective thickness and the daily gas production, wherein the sandstone effective thickness equation is Q ═ W + VH, H is the sandstone effective thickness, W and V are constants, and Q is the daily gas production;
2) differential derivation dQ ═ a is carried out on the effective thickness equation of the sandstone5dH, wherein a5And obtaining the effective thickness constant of the sandstone.
Further, the gas production equation is Q ═ a1a2a3a4a5ΦKSgPH+Q0Wherein Q is0Is the gas production constant. When the relevant index value of the main parameter and the daily gas production is more than 0.6, the parameter is determined as the main parameter influencing the gas production, and the parameter participates in evaluation and establishes an equation; if the index value of the main parameter related to the daily gas production is less than 0.6, the parameter and the constant thereof are discarded.
Further, said Q0The gas production equation is required to be substituted into the well logging gas test result to obtain a Q0The number of the well logs is more than three, and more than three Q are obtained0Taking more than three Q0The average value of (1) is a fixed constant, and the fixed constant is the final gas production constant. The accuracy of the predicted value is improved.
Example 3:
based on example 2, the single well potential rapid prediction method of the invention specifically operates in the east well region of the orldos basin as follows:
data for known gas fields in the east of the Ordos basin are shown in the table below
TABLE 1 gas field data for east well of Ordos basin
Figure BDA0002816034050000091
(1) Each parameter in Table 1 is differentiated separately, i.e., the derivative is taken on the cross plot and fitted to obtain the relevant exponential values for the principal parameter, as shown in FIGS. 1-5, where the porosity equation of FIG. 1 isQ is 1.2955 phi-3.8489, and the porosity is related to the daily gas production by an exponential number R20.9148; the permeability equation of fig. 2 is Q-1.6692K-0.0724, and the permeability is related to the daily gas production by an exponential value R20.8592; the saturation equation of fig. 3 is Q ═ 0.2063Sg-9.5016, and the correlation index value R of gas saturation and daily gas production rate20.8358; the effective thickness equation of the rock in fig. 4 is Q-1.5493H-7.0063, and the related exponential value R of the effective thickness of the rock and the daily gas production20.6135; the equation of the static pressure of the stratum in the figure 5 is that Q is 1.2156P-29.19, and the relative exponential value R of the static pressure of the stratum and the daily gas production rate20.2755; the calculation method of the relevant index values of the main parameters is a well-known algorithm, which is not specifically described herein, and the relevant index values R of the static pressure of the stratum and the daily gas production are shown2And if the correlation degree is less than 0.5, the correlation degree is low, and two parameters of the formation static pressure and the formation static pressure constant are abandoned.
(2) From the cross-over plots in FIGS. 1-5, a porosity constant of 1.2955, a permeability constant of 1.6692, a gas saturation constant of 0.2063, and an effective thickness constant of 1.5493 in that order were obtained;
multiplying the above 4 constants by 1.2955 × 1.6692 × 0.2063 × 1.5493 ═ 0.6912;
establishing a gas production equation of Q-0.6912 phi KSgH + Q0
The data for well1 is substituted into the gas production equation: 10000 ═ 3.2% x0.65x 50.1% x5.8+ Q0To obtain Q0=9999.96;
The data for well5 is substituted into the gas production equation: 10000 ═ 6.0% x2.20x 62.0% x6.9+ Q0To obtain Q0=36499.61;
The data for well8 is substituted into the gas production equation: 10000 ═ 8.0% x3.83x 75.50% x8.0+ Q0To obtain Q0=76999.73;
Three wells Q of well1, well5 and well8 are taken0Has an average value of 41166.43;
further establishing a gas production equation of 0.6912 phi KSgH + 41166.43;
(3) the porosity of the well to be predicted is 6%, the permeability is 2mD, the gas saturation is 62%, the effective thickness of the rock is 6.9m, the parameters of the well to be predicted are brought into the gas production equation in the step 3), wherein Q is 0.6912x 6% x2x 62% x6.9+41166.43, and Q is calculated to be 41200 square/day and 4.12 ten thousand square/day;
in actual production, the daily gas production of the well to be predicted is 4.08 ten thousand square/day; compared with the actual yield, the daily yield calculated by the prediction method has 1% of error and small error value.
The above examples are merely illustrative of the present invention and should not be construed as limiting the scope of the invention, which is intended to be covered by the claims and any design similar or equivalent to the scope of the invention.

Claims (10)

1. A single well potential rapid prediction method is characterized by comprising the following steps: the method comprises the following steps:
1) establishing a porosity equation according to the porosity and the daily gas production of the well logging in the target area, and acquiring a porosity constant and a related index numerical value of the porosity and the daily gas production;
2) establishing a permeability equation according to the permeability and the daily gas production of the logging in the target area, and acquiring a permeability constant and a relevant index numerical value of the permeability and the daily gas production;
3) establishing a natural gas saturation equation according to the natural gas saturation and the daily gas production of the well logging in the target area, and acquiring a saturation constant, and related index numerical values of the saturation and the daily gas production;
4) establishing a formation static pressure equation according to the formation static pressure and the daily gas production of the logging in the target area, and acquiring a formation static pressure constant and a relevant index numerical value of the formation static pressure and the daily gas production;
5) establishing a sandstone effective thickness equation according to the sandstone effective thickness and the daily gas production of the logging in the target area, and obtaining a sandstone effective thickness constant and a correlation index value of the sandstone effective thickness and the daily gas production;
6) selecting and determining evaluation parameters according to the correlation index numerical value of the porosity and the daily gas production, the correlation index numerical value of the permeability and the daily gas production, the correlation index numerical value of the saturation and the daily gas production, the correlation index numerical value of the formation static pressure and the daily gas production, and the correlation index numerical value of the effective thickness of the sandstone and the daily gas production, wherein the evaluation parameters are one or more of the porosity, the permeability, the saturation, the formation static pressure and the effective thickness of the sandstone;
7) establishing a gas production equation according to the determined evaluation parameters and constants of the evaluation parameters;
8) and obtaining the measured value of the evaluation parameters of each interval of the predicted well from the logging data volume, substituting the measured value into a gas production equation to obtain a gas production value, and obtaining the gas production condition of the predicted well according to the gas production value to finish prediction.
2. The method for rapid single well potential prediction of claim 1, wherein: the step of establishing a porosity equation comprises:
1) firstly, a scatter plot intersection diagram is made of the porosity and the daily gas production rate of the well logging, then trend fitting is carried out, and a porosity equation and a relevant index numerical value of the porosity and the daily gas production rate are obtained through fitting, wherein the porosity equation is Q ═ L + M phi, phi is the porosity, L and M are constants, and Q is the daily gas production rate;
2) differential derivation of porosity equation dQ ═ a1d Φ wherein a1Is the porosity constant, i.e. the porosity constant is obtained.
3. The method for rapid single well potential prediction of claim 2, wherein: the step of establishing a permeability equation comprises:
1) firstly, making a scatter plot intersection diagram of the logging permeability and the daily gas production, then performing trend fitting to obtain a permeability equation and a relevant index numerical value of the permeability and the daily gas production by fitting, wherein the permeability equation is Q ═ A + BK, K is the permeability, A and B are constants, and Q is the daily gas production;
2) differential derivation of permeability equation dQ ═ a2dK, wherein a2And (4) obtaining a permeability constant.
4. The method for rapid single well potential prediction of claim 3, wherein: the saturation constant obtaining method comprises the following steps:
1) firstly, making a scatter plot intersection diagram of the logging natural gas saturation and the daily gas production, then performing trend fitting to obtain a gas saturation equation and relevant exponential values of the saturation and the daily gas production, wherein the gas saturation equation is Q ═ C + DSg, Sg is the gas saturation, C and D are constants, and Q is the daily gas production;
2) differential derivation of gas saturation equation dQ ═ a3dSg, wherein a3And obtaining the saturation constant.
5. The method for rapid prediction of single well potential of claim 4, wherein: the method for obtaining the formation static pressure constant comprises the following steps:
1) firstly, making a scattered point intersection diagram for logging formation static pressure and daily gas production, then performing trend fitting to obtain a formation static pressure equation and relevant index numerical values of the formation static pressure and the daily gas production, wherein the formation static pressure equation is Q ═ E + FP, P is the formation static pressure, E and F are constants, and Q is the daily gas production;
2) differential derivation of formation static pressure equation dQ ═ a4dP wherein a4And obtaining the static pressure constant of the stratum.
6. The method for rapid single well potential prediction of claim 5, wherein: the method for obtaining the sandstone thickness constant comprises the following steps:
1) firstly, making a scatter plot intersection diagram for logging sandstone effective thickness and daily gas production, then performing trend fitting to obtain a sandstone effective thickness equation and a correlation index numerical value of the sandstone effective thickness and the daily gas production, wherein the sandstone effective thickness equation is Q ═ W + VH, H is the sandstone effective thickness, W and V are constants, and Q is the daily gas production;
2) differential derivation dQ ═ a is carried out on the effective thickness equation of the sandstone5dH, wherein a5And obtaining the effective thickness constant of the sandstone.
7. The method of claim 6 for rapid prediction of single well potential, whereinThe method comprises the following steps: the gas production equation is Q ═ a1 a2a3 a4a5ΦKSgPH+Q0Wherein Q is0Is the gas production constant.
8. The method for rapid single well potential prediction of claim 7, wherein: said Q0The gas production equation is required to be substituted into the well logging gas test result to obtain a Q0The number of the well logs is more than three, and more than three Q are obtained0Taking more than three Q0The average value of (1) is a fixed constant, and the fixed constant is the final gas production constant.
9. The method for rapid single well potential prediction of claim 8, wherein: the method for determining the evaluation parameters comprises the following steps: establishing a cross plot of the main parameters and the daily gas production, fitting and determining related index values of the main parameters and the daily gas production, wherein when the related index values of the main parameters and the daily gas production are greater than 0.6, the main parameters are evaluation parameters; the main parameters include porosity, permeability, natural gas saturation, formation hydrostatic pressure, and effective thickness of sandstone.
10. The method for rapid single well potential prediction of claim 9, wherein: when the relevant index value of the main parameter and the daily gas production is less than 0.6, the parameter and the constant thereof are omitted when a gas production equation is established.
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