Method for Calculating Saturation of Natural Gas Hydrate Based on Wood Wave Impedance Method
20200333313 ยท 2020-10-22
Inventors
Cpc classification
International classification
Abstract
In a method for calculating saturation of a natural gas hydrate based on a Wood wave impedance method a compressional wave impedance Z.sub.b of a deposit containing the natural gas hydrate can be obtained by compressional wave impedance inversion, and a compressional wave impedance Z.sub.w of the fluid and a compressional wave impedance Z.sub.h of the pure natural gas hydrate can be calculated by measuring relevant elastic parameters in a laboratory, a compressional wave impedance Z.sub.m of a matrix can be calculated on the basis of drilling data and measurement data of the relevant elastic parameters measured in the laboratory, and a porosity can be obtained by utilizing a logging interpretation technique, and the saturation of the natural gas hydrate can be calculated.
Claims
1. A method for calculating saturation of a natural gas hydrate based on a Wood wave impedance method, the method comprising: (1) using a Wood method to predict a saturation of the natural gas hydrate utilizing an equation and an equation C.sub.bw
1
C.sub.bm; (5) substituting C.sub.bw, C.sub.bh and C.sub.bm into an equation
2. A method for estimating saturation of a natural gas hydrate contained in a deposit, the method comprising: obtaining a compressional wave impedance Z.sub.b of the deposit containing the natural gas hydrate by compressional wave impedance inversion; calculating a compressional wave impedance Z.sub.h of the natural gas hydrate in a pure state by laboratory measurement of at least one elastic parameter; calculating a compressional wave impedance Z.sub.w of a fluid by laboratory measurement of at least one elastic parameter; calculating a compressional wave impedance Z.sub.m of the deposit on the basis of drilling data and laboratory measurement data of at least one elastic parameter; obtaining a porosity of the deposit utilizing a logging interpretation technique; calculating the saturation of the natural gas hydrate in the deposit utilizing a formula C.sub.bw
1
C.sub.bm; and outputting the calculated saturation of the natural gas hydrate in the deposit.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0020] To describe the technical solutions in the embodiments of the present invention or in the prior art more clearly, the following briefly describes the accompanying drawings required for describing the embodiments or the prior art. Apparently, the accompanying drawings in the following description show some embodiments of the present invention, and a person of ordinary skill in the art may still derive other drawings from these accompanying drawings without creative efforts.
[0021]
DETAILED DESCRIPTION OF EMBODIMENTS
[0022] The following describes technical solutions of one or more embodiments of the present invention with reference to the accompanying drawing(s). Apparently, the described embodiment(s) are merely a part rather than all of the embodiments of the present invention. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the protection scope of the present invention. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments of the present invention without creative efforts shall fall within the protection scope of the present invention.
[0023] Taking the calculation of saturation of a natural gas hydrate in the Shenhu sea area of China as an example, a method for calculating saturation of a natural gas hydrate based on a Wood wave impedance method includes the following steps:
[0024] Step (1): a Wood method for obtaining saturation of the natural gas hydrate consists of an equation
and an equation .sub.b=(1S.sub.h).sub.w+S.sub.h.sub.h+(1).sub.m, where V.sub.b, V.sub.pw, V.sub.ph, and V.sub.pm represent the compressional wave velocity of a deposit containing the natural gas hydrate, the compressional wave velocity of a fluid, the compressional wave velocity of a pure natural gas hydrate and the compressional wave velocity of a matrix, respectively; represents porosity; S.sub.h represents the proportion of the natural gas hydrate in a pore space, and .sub.b, .sub.w, .sub.h and .sub.m represent the density of the deposit containing the natural gas hydrate, the density of the fluid, the density of the pure natural gas hydrate, and the density of the matrix, respectively.
[0025] Step (2): since the matrix is often composed of many substances, a formula for calculating the matrix density can be expressed as
and a formula for calculating the compressional wave velocity of the matrix is
where f.sub.i is the volume percentage of an i-th substance in the matrix, .sub.i is the density of the i-th substance in the matrix, n represents the kind of a substance forming the matrix, K represents a substance bulk modulus, G represents a substance shear modulus,
where K.sub.i is the bulk modulus of the i-th substance in the matrix, and G.sub.i is the shear modulus of the i-th substance in the matrix.
[0026] Step (3): a formula for calculating the compressional wave velocity of a pure natural gas hydrate is
where E is the Young's modulus of the pure natural gas hydrate, is the density of the pure natural gas hydrate, and is the Poisson's ratio of the pure natural gas hydrate; where the Young's modulus is obtained by a formula
and the Poisson's ratio is obtained by a formula
[0027] Step (4): multiply both sides of the equation
by
to obtain an equation
where the compressional wave impedance of the deposit containing the natural gas hydrate is Z.sub.b=.sub.bV.sub.b, the compressional wave impedance of the fluid is Z.sub.w=.sub.wV.sub.pw, the compressional wave impedance of the pure natural gas hydrate is Z.sub.h=.sub.hV.sub.ph, the compressional wave impedance of the matrix is Z.sub.m=.sub.mV.sub.pm, and then the equation
can be expressed as an equation
[0028] The deposit matrix of a natural gas hydrate-enriched zone in the Shenhu sea area is mainly composed of silt, sand and clay, and also includes seawater and pure methane hydrate.
simultaneously to obtain an equation .sub.b/.sub.w=(1S.sub.h)+S.sub.h.sub.h/.sub.w+(1).sub.m/.sub.w, and .sub.b/.sub.w(1S.sub.h)+0.87S.sub.h+0.97(1).sub.m=0.97(1).sub.m+0.13S.sub.h can be obtained by substituting elastic parameters in
[0029] Both sides of the equation .sub.b=(1S.sub.h).sub.w+S.sub.h.sub.h+(1).sub.m are multiplied by
simultaneously to obtain an equation .sub.b/.sub.h=(1S.sub.h).sub.w/.sub.h+S.sub.h+(1).sub.m/.sub.h, and .sub.b/.sub.h1.15(1S.sub.h)+S.sub.h+1.11(1).sub.m=1.11(1).sub.m+1.15+0.15S.sub.h can be obtained by substituting the elastic parameters in
[0030] Both sides of the equation .sub.b=(1S.sub.h).sub.w+S.sub.h.sub.h+(1).sub.m are multiplied by
simultaneously to obtain an equation .sub.b/.sub.h=(1S.sub.h).sub.w/.sub.m+S.sub.h.sub.h/.sub.m+(1), and .sub.b/.sub.m(1)+1.03/.sub.m0.13S.sub.h/.sub.m can be obtained by substituting the elastic parameters in
[0031] Set C.sub.bw=.sub.b/.sub.w, C.sub.bh=.sub.b/.sub.h, C.sub.bm=.sub.b/.sub.m, and C.sub.bhC.sub.bw
1
C.sub.bm, since .sub.b is generally greater than 1.5 g/cm.sup.3 and the maximum matrix density generally does not exceed 3 g/cm.sup.3, the smallest coefficient C.sub.bm is greater than 0.5, and S.sub.h generally is about 0.1. Relative to the value greater than 0.5, the value of S.sub.h is negligible, and then C.sub.bw0.97(1).sub.m+, C.sub.bh1.11(1).sub.m+1.15, C.sub.bm(1)+1.03/.sub.m, C.sub.bw, C.sub.bh, and C.sub.bm can be considered as a coefficient related to porosity and matrix density.
[0032] Step (5): substitute C.sub.bw, C.sub.bh and C.sub.bm into an equation
to obtain a formula
for calculating the saturation of the natural gas hydrate by using a Wood wave impedance method, where the compressional wave impedance Z.sub.b of the deposit containing the natural gas hydrate can be obtained by compressional wave impedance inversion, and the compressional wave impedance Z.sub.w of the fluid and the compressional wave impedance Z.sub.h of the pure natural gas hydrate can be calculated by measuring relevant elastic parameters in a laboratory; the compressional wave impedance Z.sub.m of the matrix can be calculated on the basis of drilling data and measurement data of the relevant elastic parameters measured in the laboratory, and the porosity can be obtained by utilizing a logging interpretation technique.
[0033] In order to verify the reliability of the method of the present invention, an error analysis is performed on the above method:
[0034] First, some basic data assumptions are made. It is assumed that the matrix of natural gas hydrate deposit in the sea area is composed of siltstone and clay, and their proportions in the matrix is 75% and 25%, respectively; the natural gas hydrate in a suspension mode is generally less than 50%, it is assumed that the saturation of the natural gas hydrate for the study is 30%; and it is assumed that the porosity of the natural gas hydrate deposit is 40%.
[0035] From
the density of the matrix can be calculated to be about 2.63 g/cm.sup.3. From
the bulk modulus and shear modulus of the matrix can be calculated to be about 33.94 GPa and 19.32 GPa, respectively; and from the matrix density and the bulk modulus and the shear modulus, the compressional wave velocity of the matrix can be calculated to be 4762.34 m/s using a formula
[0036] From
the Young's modulus and Poisson's ratio of the natural gas hydrate can be calculated to be about 6.3 GPa and 0.31, respectively. The compressional wave velocity of the natural gas hydrate can be calculated from
to be 3126.94 m/s; the coefficients C.sub.bw, C.sub.bh and C.sub.bm are further calculate to be 1.93, 2.21 and 0.76 respectively; the density of the deposit containing the natural gas hydrate can be calculated to be about 1.97 g/cm.sup.3 according to the formula .sub.b=(1S.sub.h).sub.w+S.sub.h.sub.h+(1).sub.m, and it can be calculated according to the formula
that the compressional wave velocity of the deposit containing the natural gas hydrate is about 1855.96 m/s. It can be known in combination with the calculated data that the compressional wave impedance Z.sub.b of the deposit containing the natural gas hydrate, the compressional wave impedance Z.sub.w of the fluid, the compressional wave impedance Z.sub.h of the pure natural gas hydrate, and the compressional wave impedance Z.sub.m of the matrix are about 3651.61 (m.Math.g)/(s.Math.cm.sup.3), 12536.88 (m.Math.g)/(s.Math.cm.sup.3), 1527.36 (m.Math.g)/(s.Math.cm.sup.3), and 2814.25 (m.Math.g)/(s.Math.cm.sup.3) respectively; and it is further calculated according to the formula
that the saturation of the natural gas hydrate is 28.5%.
[0037] The accurate saturation of the natural gas hydrate obtained by the actual measurement is 30%, and it can be seen that the saturation value of the natural gas hydrate calculated by the method of the present invention is very close to the actual value, and the error is small.
[0038] In conclusion, the method of the present invention forms a novel prediction method by deriving and analyzing the existing Wood method, and clearly shows the relationship between the compressional wave impedance of the natural gas hydrate reservoir and the saturation of the natural gas hydrate, and the method has a small error and has a certain promotion and application value.
[0039] The above-mentioned contents are merely preferred embodiments of the present invention, and are not used to limit the present invention, and wherever within the spirit and principle of the present invention, any modifications, equivalent replacements, improvements, and the like shall be all contained within the protection scope of the present invention.